Edit Profile (opens in new tab) Bouchitté, Guy Co-Author Distance Author ID: bouchitte.guy Published as: Bouchitté, Guy; Bouchitté, G.; Bouchitte, Guy; Bouchitte, G. more...less Documents Indexed: 111 Publications since 1981, including 1 Book and 3 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 43 Co-Authors with 100 Joint Publications 1,098 Co-Co-Authors all top 5 Co-Authors 11 single-authored 21 Fragalà, Ilaria 17 Buttazzo, Giuseppe 15 Seppecher, Pierre 8 Fonseca, Irene 8 Mascarenhas, Maria-Luisa 7 Felbacq, Didier 7 Mahadevan, Rajesh 5 Alberti, Giovanni 5 Bellieud, Michel 5 Lucardesi, Ilaria 5 Suquet, Pierre-Marie 4 Bourel, Christophe 4 Champion, Thierry 4 De Pascale, Luigi 4 Jimenez, Chloé 3 Alibert, Jean-Jacques 3 Dal Maso, Gianni 3 Schweizer, Ben 3 Zolla, Frédéric 2 Acerbi, Emilio 2 Attouch, Hedy 2 Bołbotowski, Karol 2 Dubs, Christophe 2 Guenneau, Sebastien R. L. 2 Mabrouk, Mongi 2 Milton, Graeme Walter 2 Roubíček, Tomáš 2 Trabucho, Luis 2 Valadier, Michel 1 Barroso, Ana Cristina 1 Bellettini, Giovanni 1 Bindini, Ugo 1 Bondarenko, Andriy V. 1 Bousquet, Pierre 1 Braides, Andrea 1 Gangbo, Wilfrid 1 Leoni, Giovanni 1 Lidouh, Abdel 1 Mabrouk, Hanène 1 Malý, Jan 1 Manca, Luigi 1 Mattei, Ornella 1 Mielke, Alexander all top 5 Serials 11 Comptes Rendus de l’Académie des Sciences. Série I 9 Archive for Rational Mechanics and Analysis 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Journal of Convex Analysis 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 SIAM Journal on Mathematical Analysis 3 Calculus of Variations and Partial Differential Equations 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Quarterly Journal of Mechanics and Applied Mathematics 2 Applied Mathematics and Optimization 2 Journal of Functional Analysis 2 SIAM Journal on Control and Optimization 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 Multiscale Modeling & Simulation 1 Applicable Analysis 1 Journal of Mathematical Physics 1 Wave Motion 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Waves in Random Media 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Journal of Optimization Theory and Applications 1 Journal für die Reine und Angewandte Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Ricerche di Matematica 1 Transactions of the American Mathematical Society 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 Asymptotic Analysis 1 European Journal of Applied Mathematics 1 The Journal of Geometric Analysis 1 Journal of Elasticity 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série II 1 Mathematical Programming. Series A. Series B 1 Advances in Mathematical Sciences and Applications 1 Discrete and Continuous Dynamical Systems 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Interfaces and Free Boundaries 1 Journal of the European Mathematical Society (JEMS) 1 Rivista di Matematica della Università di Parma. Serie 7 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Series on Advances in Mathematics for Applied Sciences 1 Communications in Computational Physics 1 Networks and Heterogeneous Media 1 Advances in Calculus of Variations 1 Nonlinear Analysis. Theory, Methods & Applications 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 73 Calculus of variations and optimal control; optimization (49-XX) 41 Partial differential equations (35-XX) 34 Mechanics of deformable solids (74-XX) 15 Optics, electromagnetic theory (78-XX) 14 Measure and integration (28-XX) 10 Functional analysis (46-XX) 8 Statistical mechanics, structure of matter (82-XX) 8 Operations research, mathematical programming (90-XX) 7 Fluid mechanics (76-XX) 5 Probability theory and stochastic processes (60-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Numerical analysis (65-XX) 3 Mechanics of particles and systems (70-XX) 2 Real functions (26-XX) 2 Ordinary differential equations (34-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 100 Publications have been cited 1,715 times in 1,139 Documents Cited by ▼ Year ▼ Non-uniform integrability and generalized Young measures. Zbl 0981.49012 Alibert, J. J.; Bouchitté, G. 75 1997 Phase transition with the line-tension effect. Zbl 0915.76093 Alberti, Giovanni; Bouchitté, Guy; Seppecher, Pierre 75 1998 Characterization of optimal shapes and masses through Monge-Kantorovich equation. Zbl 0982.49025 Bouchitté, Guy; Buttazzo, Guiseppe 70 2001 A global method for relaxation. Zbl 0921.49004 Bouchitté, Guy; Fonseca, Irene; Mascarenhas, Luisa 69 1998 Energies with respect to a measure and applications to low dimensional structures. Zbl 0934.49011 Bouchitté, Guy; Buttazzo, Giuseppe; Seppecher, Pierre 63 1997 A global method for relaxation in \(W^{1,p}\) and in SBV\(_p\). Zbl 1028.49009 Bouchitté, Guy; Fonseca, Irene; Leoni, Giovanni; Mascarenhas, Luísa 61 2002 Homogenization of elliptic problems in a fiber reinforced structure. Non local effects. Zbl 0919.35014 Bellieud, Michel; Bouchitté, Guy 58 1998 Cloaking of small objects by anomalous localized resonance. Zbl 1241.78001 Bouchitté, Guy; Schweizer, Ben 48 2010 Shape optimization solutions via Monge-Kantorovich equation. Zbl 0884.49023 Bouchitté, Guy; Buttazzo, Giuseppe; Seppecher, Pierre 47 1997 Integral representation of convex functions on a space of measures. Zbl 0662.46009 Bouchitté, Guy; Valadier, Michel 46 1988 Singular perturbations of variational problems arising from a two-phase transition model. Zbl 0695.49003 Bouchitte, Guy 45 1990 Homogenization near resonances and artificial magnetism from dielectrics. Zbl 1055.35016 Bouchitté, Guy; Felbacq, Didier 42 2004 Homogenization of a soft elastic material reinforced by fibers. Zbl 1020.74032 Bouchitté, Guy; Bellieud, Michel 41 2002 Homogenization of Maxwell’s equations in a split ring geometry. Zbl 1228.35028 Bouchitté, Guy; Schweizer, Ben 41 2010 New lower semicontinuity results for nonconvex functionals defined on measures. Zbl 0736.49007 Bouchitté, Guy; Buttazzo, Giuseppe 39 1990 Homogenization of thin structures by two-scale method with respect to measures. Zbl 0986.35015 Bouchitté, Guy; Fragalà, Ilaria 37 2001 On the curvature and torsion effects in one-dimensional waveguides. Zbl 1139.49043 Bouchitté, Guy; Mascarenhas, M. Luísa; Trabucho, Luís 37 2007 The calibration method for the Mumford-Shah functional and free-discontinuity problems. Zbl 1015.49008 Alberti, Giovanni; Bouchitté, Guy; Dal Maso, Gianni 36 2003 Relaxation of convex functionals: the gap problem. Zbl 1025.49012 Acerbi, E.; Bouchitté, G.; Fonseca, I. 36 2003 A complete-damage problem at small strains. Zbl 1238.74005 Bouchitté, Guy; Mielke, Alexander; Roubíček, Tomáš 29 2009 The effective bulk energy of the relaxed energy of multiple integrals below the growth exponent. Zbl 0907.49008 Bouchitté, Guy; Fonseca, Irene; Malý, Jan 28 1998 Relaxation results for some free discontinuity problems. Zbl 0817.49015 Bouchitté, Guy; Braides, Andrea; Buttazzo, Giuseppe 28 1995 Integral representation and relaxation of convex local functionals on \(BV(\Omega)\). Zbl 0802.49008 Bouchitté, Guy; Dal Maso, Gianni 26 1993 Homogenization of the 3D Maxwell system near resonances and artificial magnetism. Zbl 1177.35028 Bouchitté, Guy; Bourel, Christophe; Felbacq, Didier 25 2009 A \(p\)-Laplacian approximation for some mass optimization problems. Zbl 1040.49040 Bouchitté, G.; Buttazzo, G.; De Pascale, L. 24 2003 A new class of costs for optimal transport planning. Zbl 1435.90143 Alibert, J.-J.; Bouchitté, G.; Champion, T. 23 2019 A singular perturbation result involving the \(H^{1/2}\) norm. (Un résultat de perturbations singulières avec la norme \(H^{1/2}\).) Zbl 0845.49008 Alberti, Giovanni; Bouchitté, Guy; Seppecher, Pierre 22 1994 Michell trusses and lines of principal action. Zbl 1151.49019 Bouchitté, Guy; Gangbo, Wilfrid; Seppecher, Pierre 22 2008 BV functions with respect to a measure and relaxation of metric integral functionals. Zbl 0959.49015 Bellettini, Giovanni; Bouchitté, Guy; Fragalà, Ilaria 21 1999 Homogenization near resonances and artificial magnetism in three dimensional dielectric metamaterials. Zbl 1375.35516 Bouchitté, Guy; Bourel, Christophe; Felbacq, Didier 20 2017 Homogenization of a set of parallel fibres. Zbl 0909.35131 Felbacq, D.; Bouchitté, G. 17 1997 Integral representation of nonconvex functionals defined on measures. Zbl 0757.49012 Bouchitté, G.; Buttazzo, G. 17 1992 Bending moment in membrane theory. Zbl 1059.74034 Bouchitté, Guy; Fonseca, Irene; Mascarenhas, M. Luísa 17 2003 Completion of the space of measures in the Kantorovich norm. Zbl 1152.49307 Bouchitté, G.; Champion, Thierry; Jimenez, Chloe 16 2005 Homogenization of a wire photonic crystal: The case of small volume fraction. Zbl 1116.28005 Bouchitté, Guy; Felbacq, Didier 16 2006 Asymptotic analysis of a class of optimal location problems. Zbl 1217.49035 Bouchitté, Guy; Jimenez, Chloé; Mahadevan, Rajesh 15 2011 Relaxation of bulk and interfacial energies. Zbl 0876.49037 Barroso, Ana Cristina; Bouchitté, Guy; Buttazzo, Giuseppe; Fonseca, Irene 14 1996 Second-order energies on thin structures: Variational theory and non-local effects. Zbl 1028.49010 Bouchitté, Guy; Fragalà, Ilaria 14 2003 Homogénéisation de frontière pour la modélisation du contact entre un corps déformable non linéaire et un corps rigide. (Boundary homogenization and modeling of friction between a nonlinear deformable body and a rigid body). Zbl 0751.73051 Bouchitte, Guy; Lidouh, Abdel; Suquet, Pierre 13 1991 Homogenization, plasticity and yield design. Zbl 0746.73002 Bouchitte, G.; Suquet, P. 13 1991 Relaxation for a class of nonconvex functionals defined on measures. Zbl 0791.49016 Bouchitté, Guy; Buttazzo, Giuseppe 13 1993 Convergence et relaxation de fonctionnelles du calcul des variations à croissance linéaire. Application à l’homogénéisation en plasticité. (Convergence and relaxation of functionals of the calculus of variations with linear growth. Application to homogenization in plasticity). Zbl 0663.49002 Bouchitte, Guy 12 1986 Asymptotic of an optimal location problem. (Asymptotique d’un problème de positionnement optimal.) Zbl 1041.90025 Bouchitté, Guy; Jimenez, Chloé; Rajesh, Mahadevan 12 2002 Homogenization of dielectric photonic quasi crystals. Zbl 1228.35027 Bouchitté, Guy; Guenneau, Sébastien; Zolla, Frédéric 11 2010 Plasmonic waves allow perfect transmission through sub-wavelength metallic gratings. Zbl 1292.78021 Bouchitté, Guy; Schweizer, Ben 11 2013 Shape derivatives for minima of integral functionals. Zbl 1304.49086 Bouchitté, Guy; Fragalà, Ilaria; Lucardesi, Ilaria 11 2014 Convergence of Sobolev spaces on varying manifolds. Zbl 1055.49009 Bouchitté, Guy; Buttazzo, Giuseppe; Fragalà, Ilaria 10 2001 Optimization of light structures: the vanishing mass conjecture. Zbl 1179.74096 Bouchitté, Guy 10 2003 Singular perturbations and homogenization in stratified media. Zbl 0865.35013 Bouchitte, G.; Picard, C. 9 1996 Homogenization of elastic thin structures: A measure-fattening approach. Zbl 1028.49011 Bouchitté, Guy; Fragalà, Ilaria 9 2002 Représentation intégrale de fonctionnelles convexes sur un espace de mesures. II: Cas de l’épi-convergence. (Integral representation of convex functionals on a measure space. II: The case of epiconvergence). Zbl 0721.49041 Bouchitte, G. 9 1987 Optimality conditions for mass design problems and applications to thin plates. Zbl 1109.74041 Bouchitté, Guy; Fragalà, Ilaria 9 2007 Minimization variational principles for acoustics, elastodynamics and electromagnetism in lossy inhomogeneous bodies at fixed frequency. Zbl 1186.74044 Milton, Graeme W.; Seppecher, Pierre; Bouchitté, Guy 9 2009 A new \(L^\infty\) estimate in optimal mass transport. Zbl 1120.49040 Bouchitté, G.; Jimenez, C.; Rajesh, M. 9 2007 Regularization of a set function – application to integral representation. Zbl 1009.49014 Bouchitté, Guy; Bellieud, Michel 8 2000 Mean curvature of a measure and related variational problems. Zbl 1015.49015 Bouchitté, Guy; Buttazzo, Giuseppe; Fragalà, Ilaria 8 1997 Variational theory of weak geometric structures: The measure method and its applications. Zbl 1039.49018 Bouchitté, Guy; Fragalà, Ilaria 8 2002 The Cosserat vector in membrane theory: a variational approach. Zbl 1179.35015 Bouchitté, Guy; Fonseca, Irene; Mascarenhas, M. Luísa 8 2009 A variational method for second order shape derivatives. Zbl 1338.49085 Bouchitté, Guy; Fragalà, Ilaria; Lucardesi, Ilaria 8 2016 Multifonctions s.c.i. et régularisée s.c.i. essentielle. (Lower semicontinuous multifunctions and essential lower semicontinuous regularization). Zbl 0704.49017 Bouchitte, G.; Valadier, M. 7 1989 The Monge-Kantorovich problem for distributions and applications. Zbl 1207.49014 Bouchitté, G.; Buttazzo, G.; De Pascale, L. 7 2010 A nonstandard free boundary problem arising in the shape optimization of thin torsion rods. Zbl 1270.49044 Alibert, Jean Jacques; Bouchitté, Guy; Fragalà, Ilaria; Lucardesi, Ilaria 7 2013 Optimal design versus maximal Monge-Kantorovich metrics. Zbl 1490.49028 Bołbotowski, Karol; Bouchitté, Guy 7 2022 Rate of convergence for correctors in almost periodic homogenization. Zbl 1077.35013 Bondarenko, Andriy; Bouchitté, Guy; Mascarenhas, Luísa; Mahadevan, Rajesh 6 2005 Relaxation of variational problems under trace constraints. Zbl 1013.49008 Bouchitté, Guy; Fonseca, Irene; Mascarenhas, Luísa 6 2002 Optimal thin torsion rods and Cheeger sets. Zbl 1403.74069 Bouchitté, Guy; Fragalà, Ilaria; Lucardesi, Ilaria; Seppecher, Pierre 6 2012 Thin waveguides with Robin boundary conditions. Zbl 1278.78002 Bouchitté, Guy; Mascarenhas, Luísa; Trabucho, Luís 6 2012 Multiscale nanorod metamaterials and realizable permittivity tensors. Zbl 1373.78065 Bouchitté, G.; Bourel, C. 6 2012 Phase transition with a potential degenerated at infinity, application to droplets equilibrium. (Transitions de phases avec un potentiel dégénéré à l’infini, application à l’équilibre de petites gouttes.) Zbl 0859.49014 Bouchitté, Guy; Dubs, Christophe; Seppecher, Pierre 5 1996 Homogenization of degenerate elliptic equations. (Homogénéisation de problèmes elliptiques dégénérés.) Zbl 0920.35024 Bellieud, Michel; Bouchitté, Guy 5 1998 Optimal design of thin plates by a dimension reduction for linear constrained problems. Zbl 1144.49010 Bouchitté, Guy; Fragalà, Ilaria 5 2007 Charges limites, plasticité et homogénéisation: le cas d’un bord chargé. (Limit loads, plasticity and homogenization: loaded boundary). Zbl 0658.73021 Bouchitte, Guy; Suquet, Pierre 4 1987 Equi-coercivity of variational problems: The role of recession functions. Zbl 0814.49009 Bouchitte, G.; Suquet, P. 4 1994 A duality theory for non-convex problems in the calculus of variations. Zbl 1396.49034 Bouchitté, Guy; Fragalà, Ilaria 4 2018 Dissociating limit in density functional theory with Coulomb optimal transport cost. Zbl 1490.82036 Bouchitté, Guy; Buttazzo, Giuseppe; Champion, Thierry; De Pascale, Luigi 4 2021 Resonant effects in random dielectric structures. Zbl 1315.35020 Bouchitté, Guy; Bourel, Christophe; Manca, Luigi 4 2015 Homogénéisation sur BV(\(\Omega\) ) de fonctionnelles intégrales à croissance linéaire. Application à un problème d’analyse limite an plasticité. (Homogenization on BV(\(\Omega\) ) of integral functionals with linear growth. Application to a limit analysis problem in plasticity theory). Zbl 0592.49008 Bouchitte, Guy 3 1985 Homogenization of second order energies on periodic thin structures. Zbl 1072.35024 Bouchitté, Guy; Fragalà, Ilaria; Rajesh, M. 3 2004 Représentation intégrale de fonctionnelles convexes sur un espace de mesures. I. (Integral representation of convex functionals on a measure space). Zbl 0721.49040 Bouchitte, G. 3 1986 The calibration method for the Mumford-Shah functional. Zbl 0948.49005 Alberti, Giovanni; Bouchitté, Guy; Dal Maso, Gianni 3 1999 Cahn and Hilliard fluid on an oscillating boundary. Zbl 0807.76081 Bouchitté, G.; Seppecher, P. 3 1994 3D-2D analysis for the optimal elastic compliance problem. Zbl 1127.74033 Bouchitté, Guy; Fragalà, Ilaria; Seppecher, Pierre 3 2007 Structural optimization of thin elastic plates: the three-dimensional approach. Zbl 1273.74373 Bouchitté, Guy; Fragalà, Ilaria; Seppecher, Pierre 3 2011 Do Fresnel coefficients exist? Zbl 1189.78016 Bouchitté, Guy; Felbacq, Didier; Zolla, Frédéric 3 2005 Relaxed multi-marginal costs and quantization effects. Zbl 1461.49046 Bouchitté, Guy; Buttazzo, Giuseppe; Champion, Thierry; De Pascale, Luigi 3 2021 Pure currents in foliated waveguides. Zbl 1158.78008 Zolla, F.; Bouchitte, G.; Guenneau, S. 3 2008 Homogenization of elliptic problems in the presence of fibers of high conductivity. (Homogénéisation de problèmes elliptiques en présence de fibres de grande conductivité.) Zbl 0859.65126 Bellieud, Michel; Bouchitté, Guy 2 1996 Low frequency scattering by a set of parallel metallic rods. Zbl 0986.78026 Bouchitté, Guy; Felbacq, Didier 2 2000 Regular approximation of free-discontinuity problems. Zbl 1009.49012 Bouchitté, G.; Dubs, C.; Seppecher, P. 2 2000 Bounds for the effective coefficients of homogenized low-dimensional structures. Zbl 1216.74016 Bouchitté, Guy; Buttazzo, Giuseppe; Fragalà, Ilaria 2 2002 On the forces that cable webs under tension can support and how to design cable webs to channel stresses. Zbl 1427.74078 Bouchitté, Guy; Mattei, Ornella; Milton, Graeme W.; Seppecher, Pierre 2 2019 On a degenerate problem in the calculus of variations. Zbl 1412.49075 Bouchitté, Guy; Bousquet, Pierre 2 2019 The optimal compliance problem for thin torsion rods: a 3D-1D analysis leading to Cheeger-type solutions. Zbl 1258.74170 Bouchitté, Guy; Fragalà, Ilaria; Seppecher, Pierre 2 2010 A general class of phase transition models with weighted interface energy. Zbl 1169.35367 Acerbi, E.; Bouchitté, G. 2 2008 Calculus of variations, homogenization and continuum mechanics. Proceedings of a workshop, CIRM-Luminy, Marseille, France, June 21–25, 1993. Zbl 0877.00012 1 1994 Variational formulations of semi-linear elliptic equations involving measures. Zbl 0668.35030 Attouch, H.; Bouchitte, G.; Mabrouk, H. 1 1989 Formulations variationnelles pour des equations elliptiques semi- linéaires avec second membre mesure. (Variational formulations of semilinear elliptic equations involving measures). Zbl 0691.49004 Attouch, Hedy; Bouchitte, Guy; Mabrouk, Mongi 1 1988 Optimal design problems for Schrödinger operators with noncompact resolvents. Zbl 1358.49014 Bouchitté, Guy; Buttazzo, Giuseppe 1 2017 Duality for non-convex variational problems. (Dualité pour des problèmes variationnels non convexes.) Zbl 1314.49022 Bouchitté, Guy; Fragalà, Ilaria 1 2015 Relaxed many-body optimal transport and related asymptotics. Zbl 1543.49008 Bindini, Ugo; Bouchitté, Guy 1 2024 Relaxed many-body optimal transport and related asymptotics. Zbl 1543.49008 Bindini, Ugo; Bouchitté, Guy 1 2024 Optimal design versus maximal Monge-Kantorovich metrics. Zbl 1490.49028 Bołbotowski, Karol; Bouchitté, Guy 7 2022 Dissociating limit in density functional theory with Coulomb optimal transport cost. Zbl 1490.82036 Bouchitté, Guy; Buttazzo, Giuseppe; Champion, Thierry; De Pascale, Luigi 4 2021 Relaxed multi-marginal costs and quantization effects. Zbl 1461.49046 Bouchitté, Guy; Buttazzo, Giuseppe; Champion, Thierry; De Pascale, Luigi 3 2021 A new class of costs for optimal transport planning. Zbl 1435.90143 Alibert, J.-J.; Bouchitté, G.; Champion, T. 23 2019 On the forces that cable webs under tension can support and how to design cable webs to channel stresses. Zbl 1427.74078 Bouchitté, Guy; Mattei, Ornella; Milton, Graeme W.; Seppecher, Pierre 2 2019 On a degenerate problem in the calculus of variations. Zbl 1412.49075 Bouchitté, Guy; Bousquet, Pierre 2 2019 A duality theory for non-convex problems in the calculus of variations. Zbl 1396.49034 Bouchitté, Guy; Fragalà, Ilaria 4 2018 Homogenization near resonances and artificial magnetism in three dimensional dielectric metamaterials. Zbl 1375.35516 Bouchitté, Guy; Bourel, Christophe; Felbacq, Didier 20 2017 Optimal design problems for Schrödinger operators with noncompact resolvents. Zbl 1358.49014 Bouchitté, Guy; Buttazzo, Giuseppe 1 2017 A variational method for second order shape derivatives. Zbl 1338.49085 Bouchitté, Guy; Fragalà, Ilaria; Lucardesi, Ilaria 8 2016 Resonant effects in random dielectric structures. Zbl 1315.35020 Bouchitté, Guy; Bourel, Christophe; Manca, Luigi 4 2015 Duality for non-convex variational problems. (Dualité pour des problèmes variationnels non convexes.) Zbl 1314.49022 Bouchitté, Guy; Fragalà, Ilaria 1 2015 Shape derivatives for minima of integral functionals. Zbl 1304.49086 Bouchitté, Guy; Fragalà, Ilaria; Lucardesi, Ilaria 11 2014 Plasmonic waves allow perfect transmission through sub-wavelength metallic gratings. Zbl 1292.78021 Bouchitté, Guy; Schweizer, Ben 11 2013 A nonstandard free boundary problem arising in the shape optimization of thin torsion rods. Zbl 1270.49044 Alibert, Jean Jacques; Bouchitté, Guy; Fragalà, Ilaria; Lucardesi, Ilaria 7 2013 Optimal thin torsion rods and Cheeger sets. Zbl 1403.74069 Bouchitté, Guy; Fragalà, Ilaria; Lucardesi, Ilaria; Seppecher, Pierre 6 2012 Thin waveguides with Robin boundary conditions. Zbl 1278.78002 Bouchitté, Guy; Mascarenhas, Luísa; Trabucho, Luís 6 2012 Multiscale nanorod metamaterials and realizable permittivity tensors. Zbl 1373.78065 Bouchitté, G.; Bourel, C. 6 2012 Asymptotic analysis of a class of optimal location problems. Zbl 1217.49035 Bouchitté, Guy; Jimenez, Chloé; Mahadevan, Rajesh 15 2011 Structural optimization of thin elastic plates: the three-dimensional approach. Zbl 1273.74373 Bouchitté, Guy; Fragalà, Ilaria; Seppecher, Pierre 3 2011 Cloaking of small objects by anomalous localized resonance. Zbl 1241.78001 Bouchitté, Guy; Schweizer, Ben 48 2010 Homogenization of Maxwell’s equations in a split ring geometry. Zbl 1228.35028 Bouchitté, Guy; Schweizer, Ben 41 2010 Homogenization of dielectric photonic quasi crystals. Zbl 1228.35027 Bouchitté, Guy; Guenneau, Sébastien; Zolla, Frédéric 11 2010 The Monge-Kantorovich problem for distributions and applications. Zbl 1207.49014 Bouchitté, G.; Buttazzo, G.; De Pascale, L. 7 2010 The optimal compliance problem for thin torsion rods: a 3D-1D analysis leading to Cheeger-type solutions. Zbl 1258.74170 Bouchitté, Guy; Fragalà, Ilaria; Seppecher, Pierre 2 2010 A complete-damage problem at small strains. Zbl 1238.74005 Bouchitté, Guy; Mielke, Alexander; Roubíček, Tomáš 29 2009 Homogenization of the 3D Maxwell system near resonances and artificial magnetism. Zbl 1177.35028 Bouchitté, Guy; Bourel, Christophe; Felbacq, Didier 25 2009 Minimization variational principles for acoustics, elastodynamics and electromagnetism in lossy inhomogeneous bodies at fixed frequency. Zbl 1186.74044 Milton, Graeme W.; Seppecher, Pierre; Bouchitté, Guy 9 2009 The Cosserat vector in membrane theory: a variational approach. Zbl 1179.35015 Bouchitté, Guy; Fonseca, Irene; Mascarenhas, M. Luísa 8 2009 Michell trusses and lines of principal action. Zbl 1151.49019 Bouchitté, Guy; Gangbo, Wilfrid; Seppecher, Pierre 22 2008 Pure currents in foliated waveguides. Zbl 1158.78008 Zolla, F.; Bouchitte, G.; Guenneau, S. 3 2008 A general class of phase transition models with weighted interface energy. Zbl 1169.35367 Acerbi, E.; Bouchitté, G. 2 2008 On the curvature and torsion effects in one-dimensional waveguides. Zbl 1139.49043 Bouchitté, Guy; Mascarenhas, M. Luísa; Trabucho, Luís 37 2007 Optimality conditions for mass design problems and applications to thin plates. Zbl 1109.74041 Bouchitté, Guy; Fragalà, Ilaria 9 2007 A new \(L^\infty\) estimate in optimal mass transport. Zbl 1120.49040 Bouchitté, G.; Jimenez, C.; Rajesh, M. 9 2007 Optimal design of thin plates by a dimension reduction for linear constrained problems. Zbl 1144.49010 Bouchitté, Guy; Fragalà, Ilaria 5 2007 3D-2D analysis for the optimal elastic compliance problem. Zbl 1127.74033 Bouchitté, Guy; Fragalà, Ilaria; Seppecher, Pierre 3 2007 Homogenization of a wire photonic crystal: The case of small volume fraction. Zbl 1116.28005 Bouchitté, Guy; Felbacq, Didier 16 2006 Completion of the space of measures in the Kantorovich norm. Zbl 1152.49307 Bouchitté, G.; Champion, Thierry; Jimenez, Chloe 16 2005 Rate of convergence for correctors in almost periodic homogenization. Zbl 1077.35013 Bondarenko, Andriy; Bouchitté, Guy; Mascarenhas, Luísa; Mahadevan, Rajesh 6 2005 Do Fresnel coefficients exist? Zbl 1189.78016 Bouchitté, Guy; Felbacq, Didier; Zolla, Frédéric 3 2005 Homogenization near resonances and artificial magnetism from dielectrics. Zbl 1055.35016 Bouchitté, Guy; Felbacq, Didier 42 2004 Homogenization of second order energies on periodic thin structures. Zbl 1072.35024 Bouchitté, Guy; Fragalà, Ilaria; Rajesh, M. 3 2004 The calibration method for the Mumford-Shah functional and free-discontinuity problems. Zbl 1015.49008 Alberti, Giovanni; Bouchitté, Guy; Dal Maso, Gianni 36 2003 Relaxation of convex functionals: the gap problem. Zbl 1025.49012 Acerbi, E.; Bouchitté, G.; Fonseca, I. 36 2003 A \(p\)-Laplacian approximation for some mass optimization problems. Zbl 1040.49040 Bouchitté, G.; Buttazzo, G.; De Pascale, L. 24 2003 Bending moment in membrane theory. Zbl 1059.74034 Bouchitté, Guy; Fonseca, Irene; Mascarenhas, M. Luísa 17 2003 Second-order energies on thin structures: Variational theory and non-local effects. Zbl 1028.49010 Bouchitté, Guy; Fragalà, Ilaria 14 2003 Optimization of light structures: the vanishing mass conjecture. Zbl 1179.74096 Bouchitté, Guy 10 2003 A global method for relaxation in \(W^{1,p}\) and in SBV\(_p\). Zbl 1028.49009 Bouchitté, Guy; Fonseca, Irene; Leoni, Giovanni; Mascarenhas, Luísa 61 2002 Homogenization of a soft elastic material reinforced by fibers. Zbl 1020.74032 Bouchitté, Guy; Bellieud, Michel 41 2002 Asymptotic of an optimal location problem. (Asymptotique d’un problème de positionnement optimal.) Zbl 1041.90025 Bouchitté, Guy; Jimenez, Chloé; Rajesh, Mahadevan 12 2002 Homogenization of elastic thin structures: A measure-fattening approach. Zbl 1028.49011 Bouchitté, Guy; Fragalà, Ilaria 9 2002 Variational theory of weak geometric structures: The measure method and its applications. Zbl 1039.49018 Bouchitté, Guy; Fragalà, Ilaria 8 2002 Relaxation of variational problems under trace constraints. Zbl 1013.49008 Bouchitté, Guy; Fonseca, Irene; Mascarenhas, Luísa 6 2002 Bounds for the effective coefficients of homogenized low-dimensional structures. Zbl 1216.74016 Bouchitté, Guy; Buttazzo, Giuseppe; Fragalà, Ilaria 2 2002 Characterization of optimal shapes and masses through Monge-Kantorovich equation. Zbl 0982.49025 Bouchitté, Guy; Buttazzo, Guiseppe 70 2001 Homogenization of thin structures by two-scale method with respect to measures. Zbl 0986.35015 Bouchitté, Guy; Fragalà, Ilaria 37 2001 Convergence of Sobolev spaces on varying manifolds. Zbl 1055.49009 Bouchitté, Guy; Buttazzo, Giuseppe; Fragalà, Ilaria 10 2001 Regularization of a set function – application to integral representation. Zbl 1009.49014 Bouchitté, Guy; Bellieud, Michel 8 2000 Low frequency scattering by a set of parallel metallic rods. Zbl 0986.78026 Bouchitté, Guy; Felbacq, Didier 2 2000 Regular approximation of free-discontinuity problems. Zbl 1009.49012 Bouchitté, G.; Dubs, C.; Seppecher, P. 2 2000 BV functions with respect to a measure and relaxation of metric integral functionals. Zbl 0959.49015 Bellettini, Giovanni; Bouchitté, Guy; Fragalà, Ilaria 21 1999 The calibration method for the Mumford-Shah functional. Zbl 0948.49005 Alberti, Giovanni; Bouchitté, Guy; Dal Maso, Gianni 3 1999 Phase transition with the line-tension effect. Zbl 0915.76093 Alberti, Giovanni; Bouchitté, Guy; Seppecher, Pierre 75 1998 A global method for relaxation. Zbl 0921.49004 Bouchitté, Guy; Fonseca, Irene; Mascarenhas, Luisa 69 1998 Homogenization of elliptic problems in a fiber reinforced structure. Non local effects. Zbl 0919.35014 Bellieud, Michel; Bouchitté, Guy 58 1998 The effective bulk energy of the relaxed energy of multiple integrals below the growth exponent. Zbl 0907.49008 Bouchitté, Guy; Fonseca, Irene; Malý, Jan 28 1998 Homogenization of degenerate elliptic equations. (Homogénéisation de problèmes elliptiques dégénérés.) Zbl 0920.35024 Bellieud, Michel; Bouchitté, Guy 5 1998 Non-uniform integrability and generalized Young measures. Zbl 0981.49012 Alibert, J. J.; Bouchitté, G. 75 1997 Energies with respect to a measure and applications to low dimensional structures. Zbl 0934.49011 Bouchitté, Guy; Buttazzo, Giuseppe; Seppecher, Pierre 63 1997 Shape optimization solutions via Monge-Kantorovich equation. Zbl 0884.49023 Bouchitté, Guy; Buttazzo, Giuseppe; Seppecher, Pierre 47 1997 Homogenization of a set of parallel fibres. Zbl 0909.35131 Felbacq, D.; Bouchitté, G. 17 1997 Mean curvature of a measure and related variational problems. Zbl 1015.49015 Bouchitté, Guy; Buttazzo, Giuseppe; Fragalà, Ilaria 8 1997 Relaxation of bulk and interfacial energies. Zbl 0876.49037 Barroso, Ana Cristina; Bouchitté, Guy; Buttazzo, Giuseppe; Fonseca, Irene 14 1996 Singular perturbations and homogenization in stratified media. Zbl 0865.35013 Bouchitte, G.; Picard, C. 9 1996 Phase transition with a potential degenerated at infinity, application to droplets equilibrium. (Transitions de phases avec un potentiel dégénéré à l’infini, application à l’équilibre de petites gouttes.) Zbl 0859.49014 Bouchitté, Guy; Dubs, Christophe; Seppecher, Pierre 5 1996 Homogenization of elliptic problems in the presence of fibers of high conductivity. (Homogénéisation de problèmes elliptiques en présence de fibres de grande conductivité.) Zbl 0859.65126 Bellieud, Michel; Bouchitté, Guy 2 1996 Relaxation results for some free discontinuity problems. Zbl 0817.49015 Bouchitté, Guy; Braides, Andrea; Buttazzo, Giuseppe 28 1995 A singular perturbation result involving the \(H^{1/2}\) norm. (Un résultat de perturbations singulières avec la norme \(H^{1/2}\).) Zbl 0845.49008 Alberti, Giovanni; Bouchitté, Guy; Seppecher, Pierre 22 1994 Equi-coercivity of variational problems: The role of recession functions. Zbl 0814.49009 Bouchitte, G.; Suquet, P. 4 1994 Cahn and Hilliard fluid on an oscillating boundary. Zbl 0807.76081 Bouchitté, G.; Seppecher, P. 3 1994 Calculus of variations, homogenization and continuum mechanics. Proceedings of a workshop, CIRM-Luminy, Marseille, France, June 21–25, 1993. Zbl 0877.00012 1 1994 Integral representation and relaxation of convex local functionals on \(BV(\Omega)\). Zbl 0802.49008 Bouchitté, Guy; Dal Maso, Gianni 26 1993 Relaxation for a class of nonconvex functionals defined on measures. Zbl 0791.49016 Bouchitté, Guy; Buttazzo, Giuseppe 13 1993 Integral representation of nonconvex functionals defined on measures. Zbl 0757.49012 Bouchitté, G.; Buttazzo, G. 17 1992 Homogénéisation de frontière pour la modélisation du contact entre un corps déformable non linéaire et un corps rigide. (Boundary homogenization and modeling of friction between a nonlinear deformable body and a rigid body). Zbl 0751.73051 Bouchitte, Guy; Lidouh, Abdel; Suquet, Pierre 13 1991 Homogenization, plasticity and yield design. Zbl 0746.73002 Bouchitte, G.; Suquet, P. 13 1991 Singular perturbations of variational problems arising from a two-phase transition model. Zbl 0695.49003 Bouchitte, Guy 45 1990 New lower semicontinuity results for nonconvex functionals defined on measures. Zbl 0736.49007 Bouchitté, Guy; Buttazzo, Giuseppe 39 1990 Multifonctions s.c.i. et régularisée s.c.i. essentielle. (Lower semicontinuous multifunctions and essential lower semicontinuous regularization). Zbl 0704.49017 Bouchitte, G.; Valadier, M. 7 1989 Variational formulations of semi-linear elliptic equations involving measures. Zbl 0668.35030 Attouch, H.; Bouchitte, G.; Mabrouk, H. 1 1989 Integral representation of convex functions on a space of measures. Zbl 0662.46009 Bouchitté, Guy; Valadier, Michel 46 1988 Formulations variationnelles pour des equations elliptiques semi- linéaires avec second membre mesure. (Variational formulations of semilinear elliptic equations involving measures). Zbl 0691.49004 Attouch, Hedy; Bouchitte, Guy; Mabrouk, Mongi 1 1988 Représentation intégrale de fonctionnelles convexes sur un espace de mesures. II: Cas de l’épi-convergence. (Integral representation of convex functionals on a measure space. II: The case of epiconvergence). Zbl 0721.49041 Bouchitte, G. 9 1987 Charges limites, plasticité et homogénéisation: le cas d’un bord chargé. (Limit loads, plasticity and homogenization: loaded boundary). Zbl 0658.73021 Bouchitte, Guy; Suquet, Pierre 4 1987 Convergence et relaxation de fonctionnelles du calcul des variations à croissance linéaire. Application à l’homogénéisation en plasticité. (Convergence and relaxation of functionals of the calculus of variations with linear growth. Application to homogenization in plasticity). Zbl 0663.49002 Bouchitte, Guy 12 1986 Représentation intégrale de fonctionnelles convexes sur un espace de mesures. I. (Integral representation of convex functionals on a measure space). Zbl 0721.49040 Bouchitte, G. 3 1986 Homogénéisation sur BV(\(\Omega\) ) de fonctionnelles intégrales à croissance linéaire. Application à un problème d’analyse limite an plasticité. (Homogenization on BV(\(\Omega\) ) of integral functionals with linear growth. Application to a limit analysis problem in plasticity theory). Zbl 0592.49008 Bouchitte, Guy 3 1985 all cited Publications top 5 cited Publications all top 5 Cited by 1,179 Authors 43 Bouchitté, Guy 28 Buttazzo, Giuseppe 24 Fonseca, Irene 21 Fragalà, Ilaria 19 Briane, Marc 19 Santambrogio, Filippo 18 Zappale, Elvira 16 Dal Maso, Gianni 15 Braides, Andrea 15 Liu, Hongyu 15 Schweizer, Ben 15 Valdinoci, Enrico 14 Nguyen, Hoai-Minh 13 Conti, Sergio 13 Igbida, Noureddine 13 Rindler, Filip 13 Verri, Alessandra A. 12 Bellieud, Michel 12 Zeppieri, Caterina Ida 11 Babadjian, Jean-François 11 Cherednichenko, Kirill D. 11 de Oliveira, César R. 11 Seppecher, Pierre 10 Barroso, Ana Cristina 10 Casado-Díaz, Juan 10 El Jarroudi, Mustapha 10 Kristensen, Jan 10 Cardoso Matias, José Carlos Pedro 10 Mingione, Giuseppe 10 Solombrino, Francesco 9 Iurlano, Flaviana 9 Li, Hongjie 9 Mandallena, Jean-Philippe 9 Milton, Graeme Walter 8 Amar, Micol 8 Anza Hafsa, Omar 8 Chambolle, Antonin 8 Chechkin, Gregory Aleksandrovich 8 Cristoferi, Riccardo 8 De Filippis, Cristiana 8 De Philippis, Guido 8 Focardi, Matteo 8 Francfort, Gilles A. 8 Kreisbeck, Carolin 8 Kružík, Martin 8 Toader, Rodica 7 Ammari, Habib 7 Arroyo-Rabasa, Adolfo 7 Bach, Annika 7 Bellettini, Giovanni 7 De Pascale, Luigi 7 Deng, Youjun 7 Feireisl, Eduard 7 Garroni, Adriana 7 Gwiazda, Piotr 7 Krejčiřík, David 7 Leoni, Giovanni 7 Morandotti, Marco 7 Pammer, Gudmund 7 Piatnitski, Andrey L. 7 Rossi, Julio Daniel 7 Rossi, Riccarda 7 Sili, Ali 6 Beiglböck, Mathias 6 Bogachev, Vladimir Igorevich 6 Crasta, Graziano 6 Crismale, Vito 6 De Arcangelis, Riccardo 6 Dweik, Samer 6 Felbacq, Didier 6 Gelli, Maria Stella 6 Heinemann, Christian 6 Jimenez, Chloé 6 Kogut, Peter I. 6 Mielke, Alexander 6 Nguyen, Van Thanh 6 Ruf, Matthias 6 Sychev, Mikhail A. 6 Verfürth, Barbara 5 Bołbotowski, Karol 5 Bonetti, Elena 5 Cicalese, Marco 5 Colombo, Maria 5 De Cicco, Virginia 5 Facca, Enrico 5 Ferreira, Rita 5 Friedrich, Manuel 5 Gaudiello, Antonio 5 Guenneau, Sebastien R. L. 5 Jourdain, Benjamin 5 Krömer, Stefan 5 Lee, Hyundae 5 Leugering, Günter 5 Lipton, Robert P. 5 Lucardesi, Ilaria 5 Lučić, Danka 5 Mascarenhas, Maria-Luisa 5 Millot, Vincent 5 Müller, Stefan 5 Owen, David Ross ...and 1,079 more Authors all top 5 Cited in 240 Serials 73 Archive for Rational Mechanics and Analysis 70 Calculus of Variations and Partial Differential Equations 54 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 46 SIAM Journal on Mathematical Analysis 28 Journal of Differential Equations 28 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 28 Journal de Mathématiques Pures et Appliquées. Neuvième Série 26 Journal of Mathematical Analysis and Applications 21 Journal of Functional Analysis 20 Applicable Analysis 20 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 19 Annali di Matematica Pura ed Applicata. Serie Quarta 17 Mathematical Methods in the Applied Sciences 15 Journal of Elasticity 15 Journal of Mathematical Sciences (New York) 14 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 14 Comptes Rendus. Mathématique. Académie des Sciences, Paris 14 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 14 Advances in Calculus of Variations 12 Journal of Mathematical Physics 11 Journal of the Mechanics and Physics of Solids 11 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 11 Journal of Convex Analysis 10 Quarterly of Applied Mathematics 10 Transactions of the American Mathematical Society 10 Journal of the European Mathematical Society (JEMS) 8 Applied Mathematics and Optimization 8 SIAM Journal on Applied Mathematics 8 Continuum Mechanics and Thermodynamics 8 Communications on Pure and Applied Analysis 7 Nonlinearity 7 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 7 Communications in Partial Differential Equations 7 Journal of Nonlinear Science 7 NoDEA. Nonlinear Differential Equations and Applications 7 Nonlinear Analysis. Real World Applications 7 Multiscale Modeling & Simulation 7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 6 Communications in Mathematical Physics 6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 6 Proceedings of the American Mathematical Society 6 The Journal of Geometric Analysis 6 Mathematics and Mechanics of Solids 6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 5 Journal of Optimization Theory and Applications 5 Manuscripta Mathematica 5 Ricerche di Matematica 5 European Journal of Applied Mathematics 5 European Journal of Mechanics. A. Solids 5 Interfaces and Free Boundaries 5 SIAM Journal on Imaging Sciences 5 Set-Valued and Variational Analysis 5 Advances in Nonlinear Analysis 5 Nonlinear Analysis. Theory, Methods & Applications 4 Computer Methods in Applied Mechanics and Engineering 4 Journal d’Analyse Mathématique 4 Journal of Computational Physics 4 Wave Motion 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Mathematische Annalen 4 Rendiconti del Seminario Matematico della Università di Padova 4 SIAM Journal on Numerical Analysis 4 Asymptotic Analysis 4 SIAM Journal on Scientific Computing 4 Doklady Mathematics 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 Communications in Contemporary Mathematics 4 Oberwolfach Reports 4 Discrete and Continuous Dynamical Systems. Series S 4 Journal of Elliptic and Parabolic Equations 4 Mathematics in Engineering 3 Computers & Mathematics with Applications 3 Communications on Pure and Applied Mathematics 3 International Journal of Engineering Science 3 Inverse Problems 3 Mathematical Notes 3 Mathematics of Computation 3 Advances in Mathematics 3 Journal of Computational and Applied Mathematics 3 Journal of the London Mathematical Society. Second Series 3 Mathematische Zeitschrift 3 SIAM Journal on Control and Optimization 3 Siberian Mathematical Journal 3 Physica D 3 Journal of Scientific Computing 3 Applications of Mathematics 3 Journal of Mathematical Imaging and Vision 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Applied and Computational Harmonic Analysis 3 Milan Journal of Mathematics 3 Boundary Value Problems 3 Networks and Heterogeneous Media 3 Analysis & PDE 3 Bulletin of Mathematical Sciences 3 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 3 Journal de l’École Polytechnique – Mathématiques 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 International Journal of Solids and Structures 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Letters in Mathematical Physics ...and 140 more Serials all top 5 Cited in 48 Fields 609 Partial differential equations (35-XX) 521 Calculus of variations and optimal control; optimization (49-XX) 312 Mechanics of deformable solids (74-XX) 84 Optics, electromagnetic theory (78-XX) 81 Functional analysis (46-XX) 67 Measure and integration (28-XX) 67 Fluid mechanics (76-XX) 65 Numerical analysis (65-XX) 58 Statistical mechanics, structure of matter (82-XX) 52 Operator theory (47-XX) 52 Operations research, mathematical programming (90-XX) 49 Real functions (26-XX) 45 Probability theory and stochastic processes (60-XX) 33 Global analysis, analysis on manifolds (58-XX) 33 Quantum theory (81-XX) 23 Ordinary differential equations (34-XX) 22 Differential geometry (53-XX) 20 Computer science (68-XX) 18 Information and communication theory, circuits (94-XX) 16 Classical thermodynamics, heat transfer (80-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Approximations and expansions (41-XX) 11 Potential theory (31-XX) 11 Convex and discrete geometry (52-XX) 10 Integral equations (45-XX) 7 Statistics (62-XX) 7 Mechanics of particles and systems (70-XX) 7 Biology and other natural sciences (92-XX) 7 Systems theory; control (93-XX) 6 Functions of a complex variable (30-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 General topology (54-XX) 4 General and overarching topics; collections (00-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Geometry (51-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Difference and functional equations (39-XX) 3 Geophysics (86-XX) 2 Mathematical logic and foundations (03-XX) 2 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year