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: 106 Publications since 1981, including 1 Book 1 Contribution as Editor Co-Authors: 43 Co-Authors with 96 Joint Publications 970 Co-Co-Authors all top 5 Co-Authors 10 single-authored 21 Fragalà, Ilaria 17 Buttazzo, Giuseppe 15 Seppecher, Pierre 8 Fonseca, Irene 8 Mascarenhas, Maria-Luisa 7 Felbacq, Didier 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 Rajesh, Mahadevan 3 Schweizer, Ben 3 Zolla, Frédéric 2 Acerbi, Emilio 2 Attouch, Hedy 2 Dubs, Christophe 2 Guenneau, Sébastien 2 Mabrouk, Mongi 2 Mahadevan, Rajesh 2 Milton, Graeme Walter 2 Roubíček, Tomáš 2 Trabucho, Luis 2 Valadier, Michel 1 Barroso, Ana Cristina 1 Bellettini, Giovanni 1 Bołbotowski, Karol 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 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 SIAM Journal on Mathematical Analysis 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 Nonlinear Analysis. Theory, Methods & Applications 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 69 Calculus of variations and optimal control; optimization (49-XX) 40 Partial differential equations (35-XX) 33 Mechanics of deformable solids (74-XX) 15 Optics, electromagnetic theory (78-XX) 13 Measure and integration (28-XX) 10 Functional analysis (46-XX) 8 Operations research, mathematical programming (90-XX) 7 Fluid mechanics (76-XX) 6 Statistical mechanics, structure of matter (82-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Numerical analysis (65-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 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-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 98 Publications have been cited 1,484 times in 985 Documents Cited by ▼ Year ▼ Phase transition with the line-tension effect. Zbl 0915.76093Alberti, Giovanni; Bouchitté, Guy; Seppecher, Pierre 67 1998 Non-uniform integrability and generalized Young measures. Zbl 0981.49012Alibert, J. J.; Bouchitté, G. 65 1997 Characterization of optimal shapes and masses through Monge-Kantorovich equation. Zbl 0982.49025Bouchitté, Guy; Buttazzo, Guiseppe 63 2001 A global method for relaxation. Zbl 0921.49004Bouchitté, Guy; Fonseca, Irene; Mascarenhas, Luisa 54 1998 Energies with respect to a measure and applications to low dimensional structures. Zbl 0934.49011Bouchitté, Guy; Buttazzo, Giuseppe; Seppecher, Pierre 54 1997 Homogenization of elliptic problems in a fiber reinforced structure. Non local effects. Zbl 0919.35014Bellieud, Michel; Bouchitté, Guy 50 1998 A global method for relaxation in \(W^{1,p}\) and in SBV\(_p\). Zbl 1028.49009Bouchitté, Guy; Fonseca, Irene; Leoni, Giovanni; Mascarenhas, Luísa 47 2002 Shape optimization solutions via Monge-Kantorovich equation. Zbl 0884.49023Bouchitté, Guy; Buttazzo, Giuseppe; Seppecher, Pierre 43 1997 Integral representation of convex functions on a space of measures. Zbl 0662.46009Bouchitté, Guy; Valadier, Michel 42 1988 Cloaking of small objects by anomalous localized resonance. Zbl 1241.78001Bouchitté, Guy; Schweizer, Ben 41 2010 Singular perturbations of variational problems arising from a two-phase transition model. Zbl 0695.49003Bouchitte, Guy 37 1990 New lower semicontinuity results for nonconvex functionals defined on measures. Zbl 0736.49007Bouchitté, Guy; Buttazzo, Giuseppe 36 1990 On the curvature and torsion effects in one-dimensional waveguides. Zbl 1139.49043Bouchitté, Guy; Mascarenhas, M. Luísa; Trabucho, Luís 36 2007 Homogenization near resonances and artificial magnetism from dielectrics. Zbl 1055.35016Bouchitté, Guy; Felbacq, Didier 36 2004 Homogenization of thin structures by two-scale method with respect to measures. Zbl 0986.35015Bouchitté, Guy; Fragalà, Ilaria 35 2001 Homogenization of Maxwell’s equations in a split ring geometry. Zbl 1228.35028Bouchitté, Guy; Schweizer, Ben 34 2010 Homogenization of a soft elastic material reinforced by fibers. Zbl 1020.74032Bouchitté, Guy; Bellieud, Michel 34 2002 The calibration method for the Mumford-Shah functional and free-discontinuity problems. Zbl 1015.49008Alberti, Giovanni; Bouchitté, Guy; Dal Maso, Gianni 31 2003 Relaxation of convex functionals: the gap problem. Zbl 1025.49012Acerbi, E.; Bouchitté, G.; Fonseca, I. 28 2003 A complete-damage problem at small strains. Zbl 1238.74005Bouchitté, Guy; Mielke, Alexander; Roubíček, Tomáš 28 2009 The effective bulk energy of the relaxed energy of multiple integrals below the growth exponent. Zbl 0907.49008Bouchitté, Guy; Fonseca, Irene; Malý, Jan 25 1998 Relaxation results for some free discontinuity problems. Zbl 0817.49015Bouchitté, Guy; Braides, Andrea; Buttazzo, Giuseppe 24 1995 Homogenization of the 3D Maxwell system near resonances and artificial magnetism. Zbl 1177.35028Bouchitté, Guy; Bourel, Christophe; Felbacq, Didier 23 2009 A \(p\)-Laplacian approximation for some mass optimization problems. Zbl 1040.49040Bouchitté, G.; Buttazzo, G.; De Pascale, L. 23 2003 Integral representation and relaxation of convex local functionals on \(BV(\Omega)\). Zbl 0802.49008Bouchitté, Guy; Dal Maso, Gianni 22 1993 A singular perturbation result involving the \(H^{1/2}\) norm. (Un résultat de perturbations singulières avec la norme \(H^{1/2}\).) Zbl 0845.49008Alberti, Giovanni; Bouchitté, Guy; Seppecher, Pierre 21 1994 Michell trusses and lines of principal action. Zbl 1151.49019Bouchitté, Guy; Gangbo, Wilfrid; Seppecher, Pierre 18 2008 BV functions with respect to a measure and relaxation of metric integral functionals. Zbl 0959.49015Bellettini, Giovanni; Bouchitté, Guy; Fragalà, Ilaria 17 1999 Homogenization of a set of parallel fibres. Zbl 0909.35131Felbacq, D.; Bouchitté, G. 17 1997 Bending moment in membrane theory. Zbl 1059.74034Bouchitté, Guy; Fonseca, Irene; Mascarenhas, M. Luísa 17 2003 Integral representation of nonconvex functionals defined on measures. Zbl 0757.49012Bouchitté, G.; Buttazzo, G. 16 1992 A new class of costs for optimal transport planning. Zbl 1435.90143Alibert, J.-J.; Bouchitté, G.; Champion, T. 16 2019 Completion of the space of measures in the Kantorovich norm. Zbl 1152.49307Bouchitté, G.; Champion, Thierry; Jimenez, Chloe 15 2005 Homogenization of a wire photonic crystal: The case of small volume fraction. Zbl 1116.28005Bouchitté, Guy; Felbacq, Didier 15 2006 Homogenization near resonances and artificial magnetism in three dimensional dielectric metamaterials. Zbl 1375.35516Bouchitté, Guy; Bourel, Christophe; Felbacq, Didier 14 2017 Asymptotic analysis of a class of optimal location problems. Zbl 1217.49035Bouchitté, Guy; Jimenez, Chloé; Mahadevan, Rajesh 14 2011 Second-order energies on thin structures: Variational theory and non-local effects. Zbl 1028.49010Bouchitté, Guy; Fragalà, Ilaria 13 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 0751.73051Bouchitte, Guy; Lidouh, Abdel; Suquet, Pierre 12 1991 Plasmonic waves allow perfect transmission through sub-wavelength metallic gratings. Zbl 1292.78021Bouchitté, Guy; Schweizer, Ben 11 2013 Homogenization, plasticity and yield design. Zbl 0746.73002Bouchitte, G.; Suquet, P. 11 1991 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 0663.49002Bouchitte, Guy 11 1986 Relaxation for a class of nonconvex functionals defined on measures. Zbl 0791.49016Bouchitté, Guy; Buttazzo, Giuseppe 11 1993 Asymptotic of an optimal location problem. (Asymptotique d’un problème de positionnement optimal.) Zbl 1041.90025Bouchitté, Guy; Jimenez, Chloé; Rajesh, Mahadevan 11 2002 Relaxation of bulk and interfacial energies. Zbl 0876.49037Barroso, Ana Cristina; Bouchitté, Guy; Buttazzo, Giuseppe; Fonseca, Irene 10 1996 Singular perturbations and homogenization in stratified media. Zbl 0865.35013Bouchitte, G.; Picard, C. 9 1996 Convergence of Sobolev spaces on varying manifolds. Zbl 1055.49009Bouchitté, Guy; Buttazzo, Giuseppe; Fragalà, Ilaria 9 2001 Shape derivatives for minima of integral functionals. Zbl 1304.49086Bouchitté, Guy; Fragalà, Ilaria; Lucardesi, Ilaria 9 2014 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 0721.49041Bouchitte, G. 8 1987 Homogenization of elastic thin structures: A measure-fattening approach. Zbl 1028.49011Bouchitté, Guy; Fragalà, Ilaria 8 2002 Variational theory of weak geometric structures: The measure method and its applications. Zbl 1039.49018Bouchitté, Guy; Fragalà, Ilaria 8 2002 Optimality conditions for mass design problems and applications to thin plates. Zbl 1109.74041Bouchitté, Guy; Fragalà, Ilaria 8 2007 Mean curvature of a measure and related variational problems. Zbl 1015.49015Bouchitté, Guy; Buttazzo, Giuseppe; Fragalà, Ilaria 8 1997 The Cosserat vector in membrane theory: a variational approach. Zbl 1179.35015Bouchitté, Guy; Fonseca, Irene; Mascarenhas, M. Luísa 8 2009 Multifonctions s.c.i. et régularisée s.c.i. essentielle. (Lower semicontinuous multifunctions and essential lower semicontinuous regularization). Zbl 0704.49017Bouchitte, G.; Valadier, M. 7 1989 Minimization variational principles for acoustics, elastodynamics and electromagnetism in lossy inhomogeneous bodies at fixed frequency. Zbl 1186.74044Milton, Graeme W.; Seppecher, Pierre; Bouchitté, Guy 7 2009 A new \(L^\infty\) estimate in optimal mass transport. Zbl 1120.49040Bouchitté, G.; Jimenez, C.; Rajesh, M. 7 2007 A variational method for second order shape derivatives. Zbl 1338.49085Bouchitté, Guy; Fragalà, Ilaria; Lucardesi, Ilaria 7 2016 A nonstandard free boundary problem arising in the shape optimization of thin torsion rods. Zbl 1270.49044Alibert, Jean Jacques; Bouchitté, Guy; Fragalà, Ilaria; Lucardesi, Ilaria 6 2013 Optimal thin torsion rods and Cheeger sets. Zbl 1403.74069Bouchitté, Guy; Fragalà, Ilaria; Lucardesi, Ilaria; Seppecher, Pierre 6 2012 Thin waveguides with Robin boundary conditions. Zbl 1278.78002Bouchitté, Guy; Mascarenhas, Luísa; Trabucho, Luís 6 2012 Optimization of light structures: the vanishing mass conjecture. Zbl 1179.74096Bouchitté, Guy 6 2003 Regularization of a set function – application to integral representation. Zbl 1009.49014Bouchitté, Guy; Bellieud, Michel 6 2000 Homogenization of dielectric photonic quasi crystals. Zbl 1228.35027Bouchitté, Guy; Guenneau, Sébastien; Zolla, Frédéric 6 2010 Multiscale nanorod metamaterials and realizable permittivity tensors. Zbl 1373.78065Bouchitté, G.; Bourel, C. 5 2012 Homogenization of degenerate elliptic equations. (Homogénéisation de problèmes elliptiques dégénérés.) Zbl 0920.35024Bellieud, Michel; Bouchitté, Guy 5 1998 Relaxation of variational problems under trace constraints. Zbl 1013.49008Bouchitté, Guy; Fonseca, Irene; Mascarenhas, Luísa 5 2002 Rate of convergence for correctors in almost periodic homogenization. Zbl 1077.35013Bondarenko, Andriy; Bouchitté, Guy; Mascarenhas, Luísa; Mahadevan, Rajesh 5 2005 The Monge-Kantorovich problem for distributions and applications. Zbl 1207.49014Bouchitté, G.; Buttazzo, G.; De Pascale, L. 5 2010 Optimal design versus maximal Monge-Kantorovich metrics. Zbl 1490.49028Bołbotowski, Karol; Bouchitté, Guy 5 2022 Charges limites, plasticité et homogénéisation: le cas d’un bord chargé. (Limit loads, plasticity and homogenization: loaded boundary). Zbl 0658.73021Bouchitte, Guy; Suquet, Pierre 4 1987 Resonant effects in random dielectric structures. Zbl 1315.35020Bouchitté, Guy; Bourel, Christophe; Manca, Luigi 4 2015 Equi-coercivity of variational problems: The role of recession functions. Zbl 0814.49009Bouchitte, G.; Suquet, P. 4 1994 Optimal design of thin plates by a dimension reduction for linear constrained problems. Zbl 1144.49010Bouchitté, Guy; Fragalà, Ilaria 4 2007 A duality theory for non-convex problems in the calculus of variations. Zbl 1396.49034Bouchitté, Guy; Fragalà, Ilaria 3 2018 Représentation intégrale de fonctionnelles convexes sur un espace de mesures. I. (Integral representation of convex functionals on a measure space). Zbl 0721.49040Bouchitte, G. 3 1986 The calibration method for the Mumford-Shah functional. Zbl 0948.49005Alberti, Giovanni; Bouchitté, Guy; Dal Maso, Gianni 3 1999 Cahn and Hilliard fluid on an oscillating boundary. Zbl 0807.76081Bouchitté, G.; Seppecher, P. 3 1994 3D-2D analysis for the optimal elastic compliance problem. Zbl 1127.74033Bouchitté, Guy; Fragalà, Ilaria; Seppecher, Pierre 3 2007 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 0859.49014Bouchitté, Guy; Dubs, Christophe; Seppecher, Pierre 3 1996 Homogenization of second order energies on periodic thin structures. Zbl 1072.35024Bouchitté, Guy; Fragalà, Ilaria; Rajesh, M. 3 2004 Pure currents in foliated waveguides. Zbl 1158.78008Zolla, F.; Bouchitte, G.; Guenneau, S. 3 2008 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 0592.49008Bouchitte, Guy 2 1985 On the forces that cable webs under tension can support and how to design cable webs to channel stresses. Zbl 1427.74078Bouchitté, Guy; Mattei, Ornella; Milton, Graeme W.; Seppecher, Pierre 2 2019 Do Fresnel coefficients exist? Zbl 1189.78016Bouchitté, Guy; Felbacq, Didier; Zolla, Frédéric 2 2005 Structural optimization of thin elastic plates: the three-dimensional approach. Zbl 1273.74373Bouchitté, Guy; Fragalà, Ilaria; Seppecher, Pierre 2 2011 Dissociating limit in density functional theory with Coulomb optimal transport cost. Zbl 1490.82036Bouchitté, Guy; Buttazzo, Giuseppe; Champion, Thierry; De Pascale, Luigi 2 2021 Low frequency scattering by a set of parallel metallic rods. Zbl 0986.78026Bouchitté, Guy; Felbacq, Didier 2 2000 Bounds for the effective coefficients of homogenized low-dimensional structures. Zbl 1216.74016Bouchitté, Guy; Buttazzo, Giuseppe; Fragalà, Ilaria 2 2002 Homogenization of elliptic problems in the presence of fibers of high conductivity. (Homogénéisation de problèmes elliptiques en présence de fibres de grande conductivité.) Zbl 0859.65126Bellieud, Michel; Bouchitté, Guy 2 1996 The optimal compliance problem for thin torsion rods: a 3D-1D analysis leading to Cheeger-type solutions. Zbl 1258.74170Bouchitté, Guy; Fragalà, Ilaria; Seppecher, Pierre 2 2010 A general class of phase transition models with weighted interface energy. Zbl 1169.35367Acerbi, E.; Bouchitté, G. 2 2008 Variational formulations of semi-linear elliptic equations involving measures. Zbl 0668.35030Attouch, 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 0691.49004Attouch, Hedy; Bouchitte, Guy; Mabrouk, Mongi 1 1988 Duality for non-convex variational problems. (Dualité pour des problèmes variationnels non convexes.) Zbl 1314.49022Bouchitté, Guy; Fragalà, Ilaria 1 2015 Regular approximation of free-discontinuity problems. Zbl 1009.49012Bouchitté, G.; Dubs, C.; Seppecher, P. 1 2000 Calculus of variations, homogenization and continuum mechanics. Proceedings of a workshop, CIRM-Luminy, Marseille, France, June 21–25, 1993. Zbl 0877.00012 1 1994 Optimal design problems for Schrödinger operators with noncompact resolvents. Zbl 1358.49014Bouchitté, Guy; Buttazzo, Giuseppe 1 2017 Relaxed multi-marginal costs and quantization effects. Zbl 1461.49046Bouchitté, Guy; Buttazzo, Giuseppe; Champion, Thierry; De Pascale, Luigi 1 2021 Optimal design versus maximal Monge-Kantorovich metrics. Zbl 1490.49028Bołbotowski, Karol; Bouchitté, Guy 5 2022 Dissociating limit in density functional theory with Coulomb optimal transport cost. Zbl 1490.82036Bouchitté, Guy; Buttazzo, Giuseppe; Champion, Thierry; De Pascale, Luigi 2 2021 Relaxed multi-marginal costs and quantization effects. Zbl 1461.49046Bouchitté, Guy; Buttazzo, Giuseppe; Champion, Thierry; De Pascale, Luigi 1 2021 A new class of costs for optimal transport planning. Zbl 1435.90143Alibert, J.-J.; Bouchitté, G.; Champion, T. 16 2019 On the forces that cable webs under tension can support and how to design cable webs to channel stresses. Zbl 1427.74078Bouchitté, Guy; Mattei, Ornella; Milton, Graeme W.; Seppecher, Pierre 2 2019 A duality theory for non-convex problems in the calculus of variations. Zbl 1396.49034Bouchitté, Guy; Fragalà, Ilaria 3 2018 Homogenization near resonances and artificial magnetism in three dimensional dielectric metamaterials. Zbl 1375.35516Bouchitté, Guy; Bourel, Christophe; Felbacq, Didier 14 2017 Optimal design problems for Schrödinger operators with noncompact resolvents. Zbl 1358.49014Bouchitté, Guy; Buttazzo, Giuseppe 1 2017 A variational method for second order shape derivatives. Zbl 1338.49085Bouchitté, Guy; Fragalà, Ilaria; Lucardesi, Ilaria 7 2016 Resonant effects in random dielectric structures. Zbl 1315.35020Bouchitté, Guy; Bourel, Christophe; Manca, Luigi 4 2015 Duality for non-convex variational problems. (Dualité pour des problèmes variationnels non convexes.) Zbl 1314.49022Bouchitté, Guy; Fragalà, Ilaria 1 2015 Shape derivatives for minima of integral functionals. Zbl 1304.49086Bouchitté, Guy; Fragalà, Ilaria; Lucardesi, Ilaria 9 2014 Plasmonic waves allow perfect transmission through sub-wavelength metallic gratings. Zbl 1292.78021Bouchitté, Guy; Schweizer, Ben 11 2013 A nonstandard free boundary problem arising in the shape optimization of thin torsion rods. Zbl 1270.49044Alibert, Jean Jacques; Bouchitté, Guy; Fragalà, Ilaria; Lucardesi, Ilaria 6 2013 Optimal thin torsion rods and Cheeger sets. Zbl 1403.74069Bouchitté, Guy; Fragalà, Ilaria; Lucardesi, Ilaria; Seppecher, Pierre 6 2012 Thin waveguides with Robin boundary conditions. Zbl 1278.78002Bouchitté, Guy; Mascarenhas, Luísa; Trabucho, Luís 6 2012 Multiscale nanorod metamaterials and realizable permittivity tensors. Zbl 1373.78065Bouchitté, G.; Bourel, C. 5 2012 Asymptotic analysis of a class of optimal location problems. Zbl 1217.49035Bouchitté, Guy; Jimenez, Chloé; Mahadevan, Rajesh 14 2011 Structural optimization of thin elastic plates: the three-dimensional approach. Zbl 1273.74373Bouchitté, Guy; Fragalà, Ilaria; Seppecher, Pierre 2 2011 Cloaking of small objects by anomalous localized resonance. Zbl 1241.78001Bouchitté, Guy; Schweizer, Ben 41 2010 Homogenization of Maxwell’s equations in a split ring geometry. Zbl 1228.35028Bouchitté, Guy; Schweizer, Ben 34 2010 Homogenization of dielectric photonic quasi crystals. Zbl 1228.35027Bouchitté, Guy; Guenneau, Sébastien; Zolla, Frédéric 6 2010 The Monge-Kantorovich problem for distributions and applications. Zbl 1207.49014Bouchitté, G.; Buttazzo, G.; De Pascale, L. 5 2010 The optimal compliance problem for thin torsion rods: a 3D-1D analysis leading to Cheeger-type solutions. Zbl 1258.74170Bouchitté, Guy; Fragalà, Ilaria; Seppecher, Pierre 2 2010 A complete-damage problem at small strains. Zbl 1238.74005Bouchitté, Guy; Mielke, Alexander; Roubíček, Tomáš 28 2009 Homogenization of the 3D Maxwell system near resonances and artificial magnetism. Zbl 1177.35028Bouchitté, Guy; Bourel, Christophe; Felbacq, Didier 23 2009 The Cosserat vector in membrane theory: a variational approach. Zbl 1179.35015Bouchitté, Guy; Fonseca, Irene; Mascarenhas, M. Luísa 8 2009 Minimization variational principles for acoustics, elastodynamics and electromagnetism in lossy inhomogeneous bodies at fixed frequency. Zbl 1186.74044Milton, Graeme W.; Seppecher, Pierre; Bouchitté, Guy 7 2009 Michell trusses and lines of principal action. Zbl 1151.49019Bouchitté, Guy; Gangbo, Wilfrid; Seppecher, Pierre 18 2008 Pure currents in foliated waveguides. Zbl 1158.78008Zolla, F.; Bouchitte, G.; Guenneau, S. 3 2008 A general class of phase transition models with weighted interface energy. Zbl 1169.35367Acerbi, E.; Bouchitté, G. 2 2008 On the curvature and torsion effects in one-dimensional waveguides. Zbl 1139.49043Bouchitté, Guy; Mascarenhas, M. Luísa; Trabucho, Luís 36 2007 Optimality conditions for mass design problems and applications to thin plates. Zbl 1109.74041Bouchitté, Guy; Fragalà, Ilaria 8 2007 A new \(L^\infty\) estimate in optimal mass transport. Zbl 1120.49040Bouchitté, G.; Jimenez, C.; Rajesh, M. 7 2007 Optimal design of thin plates by a dimension reduction for linear constrained problems. Zbl 1144.49010Bouchitté, Guy; Fragalà, Ilaria 4 2007 3D-2D analysis for the optimal elastic compliance problem. Zbl 1127.74033Bouchitté, Guy; Fragalà, Ilaria; Seppecher, Pierre 3 2007 Homogenization of a wire photonic crystal: The case of small volume fraction. Zbl 1116.28005Bouchitté, Guy; Felbacq, Didier 15 2006 Completion of the space of measures in the Kantorovich norm. Zbl 1152.49307Bouchitté, G.; Champion, Thierry; Jimenez, Chloe 15 2005 Rate of convergence for correctors in almost periodic homogenization. Zbl 1077.35013Bondarenko, Andriy; Bouchitté, Guy; Mascarenhas, Luísa; Mahadevan, Rajesh 5 2005 Do Fresnel coefficients exist? Zbl 1189.78016Bouchitté, Guy; Felbacq, Didier; Zolla, Frédéric 2 2005 Homogenization near resonances and artificial magnetism from dielectrics. Zbl 1055.35016Bouchitté, Guy; Felbacq, Didier 36 2004 Homogenization of second order energies on periodic thin structures. Zbl 1072.35024Bouchitté, Guy; Fragalà, Ilaria; Rajesh, M. 3 2004 The calibration method for the Mumford-Shah functional and free-discontinuity problems. Zbl 1015.49008Alberti, Giovanni; Bouchitté, Guy; Dal Maso, Gianni 31 2003 Relaxation of convex functionals: the gap problem. Zbl 1025.49012Acerbi, E.; Bouchitté, G.; Fonseca, I. 28 2003 A \(p\)-Laplacian approximation for some mass optimization problems. Zbl 1040.49040Bouchitté, G.; Buttazzo, G.; De Pascale, L. 23 2003 Bending moment in membrane theory. Zbl 1059.74034Bouchitté, Guy; Fonseca, Irene; Mascarenhas, M. Luísa 17 2003 Second-order energies on thin structures: Variational theory and non-local effects. Zbl 1028.49010Bouchitté, Guy; Fragalà, Ilaria 13 2003 Optimization of light structures: the vanishing mass conjecture. Zbl 1179.74096Bouchitté, Guy 6 2003 A global method for relaxation in \(W^{1,p}\) and in SBV\(_p\). Zbl 1028.49009Bouchitté, Guy; Fonseca, Irene; Leoni, Giovanni; Mascarenhas, Luísa 47 2002 Homogenization of a soft elastic material reinforced by fibers. Zbl 1020.74032Bouchitté, Guy; Bellieud, Michel 34 2002 Asymptotic of an optimal location problem. (Asymptotique d’un problème de positionnement optimal.) Zbl 1041.90025Bouchitté, Guy; Jimenez, Chloé; Rajesh, Mahadevan 11 2002 Homogenization of elastic thin structures: A measure-fattening approach. Zbl 1028.49011Bouchitté, Guy; Fragalà, Ilaria 8 2002 Variational theory of weak geometric structures: The measure method and its applications. Zbl 1039.49018Bouchitté, Guy; Fragalà, Ilaria 8 2002 Relaxation of variational problems under trace constraints. Zbl 1013.49008Bouchitté, Guy; Fonseca, Irene; Mascarenhas, Luísa 5 2002 Bounds for the effective coefficients of homogenized low-dimensional structures. Zbl 1216.74016Bouchitté, Guy; Buttazzo, Giuseppe; Fragalà, Ilaria 2 2002 Characterization of optimal shapes and masses through Monge-Kantorovich equation. Zbl 0982.49025Bouchitté, Guy; Buttazzo, Guiseppe 63 2001 Homogenization of thin structures by two-scale method with respect to measures. Zbl 0986.35015Bouchitté, Guy; Fragalà, Ilaria 35 2001 Convergence of Sobolev spaces on varying manifolds. Zbl 1055.49009Bouchitté, Guy; Buttazzo, Giuseppe; Fragalà, Ilaria 9 2001 Regularization of a set function – application to integral representation. Zbl 1009.49014Bouchitté, Guy; Bellieud, Michel 6 2000 Low frequency scattering by a set of parallel metallic rods. Zbl 0986.78026Bouchitté, Guy; Felbacq, Didier 2 2000 Regular approximation of free-discontinuity problems. Zbl 1009.49012Bouchitté, G.; Dubs, C.; Seppecher, P. 1 2000 BV functions with respect to a measure and relaxation of metric integral functionals. Zbl 0959.49015Bellettini, Giovanni; Bouchitté, Guy; Fragalà, Ilaria 17 1999 The calibration method for the Mumford-Shah functional. Zbl 0948.49005Alberti, Giovanni; Bouchitté, Guy; Dal Maso, Gianni 3 1999 Phase transition with the line-tension effect. Zbl 0915.76093Alberti, Giovanni; Bouchitté, Guy; Seppecher, Pierre 67 1998 A global method for relaxation. Zbl 0921.49004Bouchitté, Guy; Fonseca, Irene; Mascarenhas, Luisa 54 1998 Homogenization of elliptic problems in a fiber reinforced structure. Non local effects. Zbl 0919.35014Bellieud, Michel; Bouchitté, Guy 50 1998 The effective bulk energy of the relaxed energy of multiple integrals below the growth exponent. Zbl 0907.49008Bouchitté, Guy; Fonseca, Irene; Malý, Jan 25 1998 Homogenization of degenerate elliptic equations. (Homogénéisation de problèmes elliptiques dégénérés.) Zbl 0920.35024Bellieud, Michel; Bouchitté, Guy 5 1998 Non-uniform integrability and generalized Young measures. Zbl 0981.49012Alibert, J. J.; Bouchitté, G. 65 1997 Energies with respect to a measure and applications to low dimensional structures. Zbl 0934.49011Bouchitté, Guy; Buttazzo, Giuseppe; Seppecher, Pierre 54 1997 Shape optimization solutions via Monge-Kantorovich equation. Zbl 0884.49023Bouchitté, Guy; Buttazzo, Giuseppe; Seppecher, Pierre 43 1997 Homogenization of a set of parallel fibres. Zbl 0909.35131Felbacq, D.; Bouchitté, G. 17 1997 Mean curvature of a measure and related variational problems. Zbl 1015.49015Bouchitté, Guy; Buttazzo, Giuseppe; Fragalà, Ilaria 8 1997 Relaxation of bulk and interfacial energies. Zbl 0876.49037Barroso, Ana Cristina; Bouchitté, Guy; Buttazzo, Giuseppe; Fonseca, Irene 10 1996 Singular perturbations and homogenization in stratified media. Zbl 0865.35013Bouchitte, 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 0859.49014Bouchitté, Guy; Dubs, Christophe; Seppecher, Pierre 3 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 0859.65126Bellieud, Michel; Bouchitté, Guy 2 1996 Relaxation results for some free discontinuity problems. Zbl 0817.49015Bouchitté, Guy; Braides, Andrea; Buttazzo, Giuseppe 24 1995 A singular perturbation result involving the \(H^{1/2}\) norm. (Un résultat de perturbations singulières avec la norme \(H^{1/2}\).) Zbl 0845.49008Alberti, Giovanni; Bouchitté, Guy; Seppecher, Pierre 21 1994 Equi-coercivity of variational problems: The role of recession functions. Zbl 0814.49009Bouchitte, G.; Suquet, P. 4 1994 Cahn and Hilliard fluid on an oscillating boundary. Zbl 0807.76081Bouchitté, 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 0802.49008Bouchitté, Guy; Dal Maso, Gianni 22 1993 Relaxation for a class of nonconvex functionals defined on measures. Zbl 0791.49016Bouchitté, Guy; Buttazzo, Giuseppe 11 1993 Integral representation of nonconvex functionals defined on measures. Zbl 0757.49012Bouchitté, G.; Buttazzo, G. 16 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 0751.73051Bouchitte, Guy; Lidouh, Abdel; Suquet, Pierre 12 1991 Homogenization, plasticity and yield design. Zbl 0746.73002Bouchitte, G.; Suquet, P. 11 1991 Singular perturbations of variational problems arising from a two-phase transition model. Zbl 0695.49003Bouchitte, Guy 37 1990 New lower semicontinuity results for nonconvex functionals defined on measures. Zbl 0736.49007Bouchitté, Guy; Buttazzo, Giuseppe 36 1990 Multifonctions s.c.i. et régularisée s.c.i. essentielle. (Lower semicontinuous multifunctions and essential lower semicontinuous regularization). Zbl 0704.49017Bouchitte, G.; Valadier, M. 7 1989 Variational formulations of semi-linear elliptic equations involving measures. Zbl 0668.35030Attouch, H.; Bouchitte, G.; Mabrouk, H. 1 1989 Integral representation of convex functions on a space of measures. Zbl 0662.46009Bouchitté, Guy; Valadier, Michel 42 1988 Formulations variationnelles pour des equations elliptiques semi- linéaires avec second membre mesure. (Variational formulations of semilinear elliptic equations involving measures). Zbl 0691.49004Attouch, 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 0721.49041Bouchitte, G. 8 1987 Charges limites, plasticité et homogénéisation: le cas d’un bord chargé. (Limit loads, plasticity and homogenization: loaded boundary). Zbl 0658.73021Bouchitte, 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 0663.49002Bouchitte, Guy 11 1986 Représentation intégrale de fonctionnelles convexes sur un espace de mesures. I. (Integral representation of convex functionals on a measure space). Zbl 0721.49040Bouchitte, 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 0592.49008Bouchitte, Guy 2 1985 all cited Publications top 5 cited Publications all top 5 Cited by 1,041 Authors 40 Bouchitté, Guy 25 Buttazzo, Giuseppe 23 Fonseca, Irene 21 Fragalà, Ilaria 19 Briane, Marc 18 Santambrogio, Filippo 16 Schweizer, Ben 14 Dal Maso, Gianni 14 Nguyen, Hoai-Minh 14 Valdinoci, Enrico 13 Liu, Hongyu 13 Verri, Alessandra A. 13 Zappale, Elvira 12 Braides, Andrea 12 Igbida, Noureddine 11 Cherednichenko, Kirill D. 11 Conti, Sergio 11 Rindler, Filip 10 Bellieud, Michel 10 Casado-Díaz, Juan 10 de Oliveira, César R. 10 Mingione, Giuseppe 10 Seppecher, Pierre 9 Babadjian, Jean-François 9 Li, Hongjie 9 Milton, Graeme Walter 9 Zeppieri, Caterina Ida 8 Amar, Micol 8 Chechkin, Gregory Aleksandrovich 8 De Filippis, Cristiana 8 El Jarroudi, Mustapha 8 Francfort, Gilles A. 8 Kristensen, Jan 8 Rossi, Riccarda 7 Barroso, Ana Cristina 7 Cristoferi, Riccardo 7 De Philippis, Guido 7 Feireisl, Eduard 7 Garroni, Adriana 7 Kreisbeck, Carolin 7 Krejčiřík, David 7 Leoni, Giovanni 7 Mandallena, Jean-Philippe 7 Cardoso Matias, José Carlos Pedro 7 Piatnitski, Andrey L. 7 Rossi, Julio Daniel 6 Ammari, Habib 6 Anza Hafsa, Omar 6 Bach, Annika 6 Chambolle, Antonin 6 Crasta, Graziano 6 Crismale, Vito 6 De Pascale, Luigi 6 Heinemann, Christian 6 Jimenez, Chloé 6 Kogut, Peter I. 6 Kružík, Martin 6 Mielke, Alexander 6 Nguyen, Van Thanh 6 Pammer, Gudmund 6 Solombrino, Francesco 6 Sychev, Mikhail A. 6 Toader, Rodica 5 Arroyo-Rabasa, Adolfo 5 Beiglböck, Mathias 5 Bellettini, Giovanni 5 Cicalese, Marco 5 De Arcangelis, Riccardo 5 De Cicco, Virginia 5 Facca, Enrico 5 Felbacq, Didier 5 Focardi, Matteo 5 Gaudiello, Antonio 5 Gelli, Maria Stella 5 Gwiazda, Piotr 5 Lee, Hyundae 5 Leugering, Günter 5 Lipton, Robert P. 5 Lucardesi, Ilaria 5 Mascarenhas, Maria-Luisa 5 Millot, Vincent 5 Morandotti, Marco 5 Müller, Stefan 5 Putti, Mario 5 Rocca, Elisabetta 5 Ruf, Matthias 5 Santos, Pedro Miguel 5 Savaré, Giuseppe 5 Sili, Ali 5 Westdickenberg, Michael 5 Zucco, Davide 4 Baía, Margarida 4 Bołbotowski, Karol 4 Bonetti, Elena 4 Brancolini, Alessio 4 Breit, Dominic 4 Bucur, Dorin 4 Cardone, Giuseppe 4 Colombo, Maria 4 Deng, Youjun ...and 941 more Authors all top 5 Cited in 220 Serials 69 Archive for Rational Mechanics and Analysis 65 Calculus of Variations and Partial Differential Equations 48 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 39 SIAM Journal on Mathematical Analysis 28 Journal de Mathématiques Pures et Appliquées. Neuvième Série 27 Journal of Differential Equations 26 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 22 Journal of Mathematical Analysis and Applications 19 Journal of Functional Analysis 19 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 18 Applicable Analysis 17 Annali di Matematica Pura ed Applicata. Serie Quarta 15 Journal of Mathematical Sciences (New York) 14 Comptes Rendus. Mathématique. Académie des Sciences, Paris 12 Journal of Mathematical Physics 12 Advances in Calculus of Variations 11 Journal of the Mechanics and Physics of Solids 11 Journal of Elasticity 11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 10 Quarterly of Applied Mathematics 9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 9 Proceedings of the Royal Society of Edinburgh. Section A. 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Serie V 5 Journal of Optimization Theory and Applications 5 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 5 The Journal of Geometric Analysis 5 European Journal of Mechanics. A. Solids 5 SIAM Journal on Imaging Sciences 5 Nonlinear Analysis. Theory, Methods & Applications 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Manuscripta Mathematica 4 Rendiconti del Seminario Matematico della Università di Padova 4 Ricerche di Matematica 4 SIAM Journal on Numerical Analysis 4 European Journal of Applied Mathematics 4 Journal of Nonlinear Science 4 SIAM Journal on Scientific Computing 4 Communications in Contemporary Mathematics 4 Multiscale Modeling & Simulation 4 Set-Valued and Variational Analysis 4 Journal of Elliptic and Parabolic Equations 4 Mathematics in Engineering 3 Computers & Mathematics with Applications 3 Computer Methods in Applied Mechanics and Engineering 3 International Journal of Engineering Science 3 Inverse Problems 3 Journal d’Analyse Mathématique 3 Mathematical Notes 3 Wave Motion 3 Mathematics of Computation 3 Journal of Computational and Applied Mathematics 3 Mathematische Annalen 3 SIAM Journal on Control and Optimization 3 Siberian Mathematical Journal 3 Physica D 3 Asymptotic Analysis 3 Journal of Scientific Computing 3 Applications of Mathematics 3 Annales de la Faculté des Sciences de Toulouse. 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Second Series 2 Mathematics and Computers in Simulation 2 Mathematische Zeitschrift 2 Mathematical and Computer Modelling 2 Journal of Global Optimization 2 Journal of Mathematical Imaging and Vision 2 Applied and Computational Harmonic Analysis ...and 120 more Serials all top 5 Cited in 46 Fields 519 Partial differential equations (35-XX) 454 Calculus of variations and optimal control; optimization (49-XX) 273 Mechanics of deformable solids (74-XX) 73 Optics, electromagnetic theory (78-XX) 63 Functional analysis (46-XX) 59 Fluid mechanics (76-XX) 56 Measure and integration (28-XX) 51 Numerical analysis (65-XX) 51 Statistical mechanics, structure of matter (82-XX) 44 Operator theory (47-XX) 44 Operations research, mathematical programming (90-XX) 37 Real functions (26-XX) 34 Probability theory and stochastic processes (60-XX) 30 Global analysis, analysis on manifolds (58-XX) 30 Quantum theory (81-XX) 20 Ordinary differential equations (34-XX) 18 Computer science (68-XX) 16 Differential geometry (53-XX) 16 Information and communication theory, circuits (94-XX) 15 Classical thermodynamics, heat transfer (80-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Convex and discrete geometry (52-XX) 9 Potential theory (31-XX) 9 Approximations and expansions (41-XX) 8 Integral equations (45-XX) 8 Biology and other natural sciences (92-XX) 7 Statistics (62-XX) 7 Systems theory; control (93-XX) 5 Functions of a complex variable (30-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Mechanics of particles and systems (70-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 General and overarching topics; collections (00-XX) 3 Geometry (51-XX) 3 General topology (54-XX) 3 Geophysics (86-XX) 2 Difference and functional equations (39-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year