Edit Profile (opens in new tab) Fonseca, Irene Compute Distance To: Compute Author ID: fonseca.irene Published as: Fonseca, Irene; Fonseca, I. External Links: Women in Mathematics · MGP · ORCID · Wikidata · dblp · GND · IdRef Documents Indexed: 132 Publications since 1987, including 2 Books 2 Contributions as Editor Biographic References: 1 Publication Co-Authors: 67 Co-Authors with 123 Joint Publications 1,315 Co-Co-Authors all top 5 Co-Authors 10 single-authored 36 Leoni, Giovanni 11 Fusco, Nicola 8 Bouchitté, Guy 8 Malý, Jan 8 Morini, Massimiliano 7 Dal Maso, Gianni 7 Francfort, Gilles A. 6 Dacorogna, Bernard 6 Mascarenhas, Maria-Luisa 6 Müller, Stefan 5 Choksi, Rustum 5 Marcellini, Paolo 4 Acerbi, Emilio 4 Davoli, Elisa 4 Ferreira, Rita 4 Mingione, Giuseppe 4 Paroni, Roberto 3 Barroso, Ana Cristina 3 Braides, Andrea 3 Cristoferi, Riccardo 3 Hagerty, Adrian 3 Parry, Gareth P. 3 Pedregal, Pablo 3 Popovici, Cristina 3 Tartar, Luc C. 3 Zwicknagl, Barbara Maria 2 Ambrosio, Luigi 2 Bocea, Marian F. 2 Brandon, Deborah 2 Bufford, Laura 2 Buttazzo, Giuseppe 2 Carozza, Menita 2 Gangbo, Wilfrid 2 Kinderlehrer, David 2 Passarelli di Napoli, Antonia 2 Schaeffer, Jack W. 2 Shvartsman, Mikhail M. 2 Swart, Pieter J. 2 Venkatraman, Raghavendra 1 Baía, Margarida 1 Bhattacharya, Kaushik 1 Blass, Timothy 1 Carita, Graça 1 Chermisi, Milena 1 Conti, Sergio 1 Del Piero, Gianpietro 1 Ginster, Janusz 1 Hayrapetyan, Gurgen 1 Katsoulakis, Markos A. 1 Krömer, Stefan 1 Kružík, Martin 1 Lin, Jessica 1 Liu, Pan 1 Lu, Xinyang 1 Maggi, Francesco 1 Mantegazza, Carlo 1 Millot, Vincent 1 Mora, Maria Giovanna 1 Morandotti, Marco 1 Owen, David R. 1 Pratelli, Aldo 1 Rybka, Piotr 1 Slastikov, Valeriy V. 1 Toader, Rodica 1 Trivisa, Konstantina 1 Wojtowytsch, Stephan 1 Zappale, Elvira all top 5 Serials 19 Archive for Rational Mechanics and Analysis 12 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 11 SIAM Journal on Mathematical Analysis 11 Calculus of Variations and Partial Differential Equations 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Indiana University Mathematics Journal 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Quarterly of Applied Mathematics 3 Journal of Convex Analysis 2 Communications on Pure and Applied Mathematics 2 Transactions of the American Mathematical Society 2 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 2 Journal of Nonlinear Science 2 Interfaces and Free Boundaries 2 Portugaliae Mathematica. Nova Série 1 Applied Mathematics and Optimization 1 Journal of Functional Analysis 1 Journal für die Reine und Angewandte Mathematik 1 Proceedings of the American Mathematical Society 1 Ricerche di Matematica 1 Asymptotic Analysis 1 Differential and Integral Equations 1 The Journal of Geometric Analysis 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Partial Differential Equations 1 Journal of Elasticity 1 SIAM Journal on Applied Mathematics 1 Mathematics and Mechanics of Solids 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Communications in Contemporary Mathematics 1 Rivista di Matematica della Università di Parma. Serie 7 1 Communications in Mathematical Sciences 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Oxford Lecture Series in Mathematics and its Applications 1 Advances in Calculus of Variations 1 Analysis & PDE 1 Springer Monographs in Mathematics 1 European Mathematical Society Magazine all top 5 Fields 105 Calculus of variations and optimal control; optimization (49-XX) 62 Mechanics of deformable solids (74-XX) 42 Partial differential equations (35-XX) 13 Real functions (26-XX) 11 Statistical mechanics, structure of matter (82-XX) 6 Functional analysis (46-XX) 5 Measure and integration (28-XX) 4 Information and communication theory, circuits (94-XX) 3 Computer science (68-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Ordinary differential equations (34-XX) 2 Differential geometry (53-XX) 2 Fluid mechanics (76-XX) 1 Functions of a complex variable (30-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 117 Publications have been cited 2,191 times in 1,291 Documents Cited by ▼ Year ▼ Modern methods in the calculus of variations. \(L^p\) spaces. Zbl 1153.49001Fonseca, Irene; Leoni, Giovanni 213 2007 Degree theory in analysis and applications. Zbl 0852.47030Fonseca, Irene; Gangbo, Wilfrid 123 1995 \(\mathcal A\)-quasiconvexity, lower semicontinuity, and Young measures. Zbl 0940.49014Fonseca, Irene; Müller, Stefan 109 1999 A uniqueness proof for the Wulff theorem. Zbl 0752.49019Fonseca, Irene; Müller, Stefan 79 1991 Quasi-convex integrands and lower semicontinuity in \(L^ 1\). Zbl 0764.49012Fonseca, Irene; Müller, Stefan 71 1992 Analysis of concentration and oscillation effects generated by gradients. Zbl 0920.49009Fonseca, Irene; Müller, Stefan; Pedregal, Pablo 70 1998 Relaxation of quasiconvex functionals in \(BV(\Omega, \mathbb{R}^ N)\) for integrands \(f(x, u, \bigtriangledown u)\). Zbl 0788.49039Fonseca, Irene; Müller, Stefan 68 1993 The gradient theory of phase transitions for systems with two potential wells. Zbl 0676.49005Fonseca, Irene; Tartar, Luc 67 1989 Scalar minimizers with fractal singular sets. Zbl 1049.49015Fonseca, Irene; Malý, Jan; Mingione, Giuseppe 52 2004 3D-2D asymptotic analysis for inhomogeneous thin films. Zbl 0987.35020Braides, A.; Fonseca, I.; Francfort, G. 50 2000 Regularity results for anisotropic image segmentation models. Zbl 0899.49018Fonseca, Irene; Fusco, Nicola 48 1997 A global method for relaxation. Zbl 0921.49004Bouchitté, Guy; Fonseca, Irene; Mascarenhas, Luisa 47 1998 The Wulff theorem revisited. Zbl 0725.49017Fonseca, Irene 45 1991 A-quasiconvexity: Relaxation and homogenization. Zbl 0971.35010Braides, Andrea; Fonseca, Irene; Leoni, Giovanni 44 2000 Relaxation of multiple integrals below the growth exponent. Zbl 0868.49011Fonseca, Irene; Malý, Jan 42 1997 An existence result for a nonconvex variational problem via regularity. Zbl 1044.49011Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo 41 2002 Variational methods for elastic crystals. Zbl 0611.73023Fonseca, Irene 40 1987 The lower quasiconvex envelope of the stored energy function for an elastic crystal. Zbl 0718.73075Fonseca, Irene 37 1988 A global method for relaxation in \(W^{1,p}\) and in SBV\(_p\). Zbl 1028.49009Bouchitté, Guy; Fonseca, Irene; Leoni, Giovanni; Mascarenhas, Luísa 35 2002 A \(\Gamma\)-convergence result for the two-gradient theory of phase transitions. Zbl 1029.49040Conti, Sergio; Fonseca, Irene; Leoni, Giovanni 32 2002 Equilibrium configurations of epitaxially strained crystalline films: Existence and regularity results. Zbl 1126.74029Fonseca, I.; Fusco, N.; Leoni, G.; Morini, M. 29 2007 Anisotropic singular perturbations – the vectorial case. Zbl 0804.49013Barroso, Ana Cristina; Fonseca, Irene 28 1994 Bulk and interfacial energy densities for structured deformations of continua. Zbl 0891.73078Choksi, Rustum; Fonseca, Irene 25 1997 Second order singular perturbation models for phase transitions. Zbl 0958.49007Fonseca, Irene; Mantegazza, Carlo 24 2000 Lower semicontinuity of surface energies. Zbl 0757.49013Fonseca, Irene 23 1992 Surfactants in foam stability: a phase-field model. Zbl 1107.76076Fonseca, Irene; Morini, Massimiliano; Slastikov, Valeriy 23 2007 Relaxation of convex functionals: the gap problem. Zbl 1025.49012Acerbi, E.; Bouchitté, G.; Fonseca, I. 23 2003 A relaxation theorem in the space of functions of bounded deformation. Zbl 0960.49014Barroso, Ana Cristina; Fonseca, Irene; Toader, Rodica 21 2000 Relaxation of multiple integral in subcritical Sobolev spaces. Zbl 0915.49011Fonseca, Irene; Marcellini, Paolo 21 1997 The effective bulk energy of the relaxed energy of multiple integrals below the growth exponent. Zbl 0907.49008Bouchitté, Guy; Fonseca, Irene; Malý, Jan 20 1998 Local invertibility of Sobolev functions. Zbl 0839.30018Fonseca, I.; Gangbo, W. 18 1995 Structured deformations as energy minimizers in models of fracture and hystersis. Zbl 1001.74566Choksi, R.; del Piero, G.; Fonseca, I.; Owen, D. 18 1999 3D-2D asymptotic analysis of an optimal design problem for thin films. Zbl 0917.73052Fonseca, Irene; Francfort, Gilles 18 1998 Weak continuity and lower semicontinuity results for determinants. Zbl 1081.49013Fonseca, Irene; Leoni, Giovanni; Malý, Jan 18 2005 Equilibrium configurations of defective crystals. Zbl 0785.73007Fonseca, Irene; Parry, Gareth 17 1992 Dynamics for systems of screw dislocations. Zbl 1322.34059Blass, T.; Fonseca, I.; Leoni, G.; Morandotti, M. 17 2015 Manifold constrained variational problems. Zbl 0935.49006Dacorogna, B.; Fonseca, I.; Malý, J.; Trivisa, K. 16 1999 Bending moment in membrane theory. Zbl 1059.74034Bouchitté, Guy; Fonseca, Irene; Mascarenhas, M. Luísa 16 2003 Relaxation in \(BV\) versus quasiconvexification in \(W^{1,p}\); a model for the interaction between fracture and damage. Zbl 0847.73077Fonseca, Irene; Francfort, Gilles A. 16 1995 A higher order model for image restoration: the one-dimensional case. Zbl 1193.49012dal Maso, G.; Fonseca, I.; Leoni, G.; Morini, M. 16 2009 On lower semicontinuity and relaxation. Zbl 1003.49015Fonseca, Irene; Leoni, Giovanni 15 2001 Energy functionals depending on elastic strain and chemical composition. Zbl 0800.49030Fonseca, Irene; Kinderlehrer, David; Pedregal, Pablo 14 1994 Relaxation of multiple integrals in the space \(BV(\Omega{},R^ p)\). Zbl 0794.49012Fonseca, Irene; Rybka, Piotr 14 1992 Oscillations and concentrations generated by \({\mathcal A}\)-free mappings and weak lower semicontinuity of integral functionals. Zbl 1217.49016Fonseca, Irene; Kružík, Martin 14 2010 Phase transitions of elastic solid materials. Zbl 0751.73005Fonseca, Irene 13 1989 \(\mathcal A\)-quasiconvexity: weak-star convergence and the gap. Zbl 1064.49016Fonseca, Irene; Leoni, Giovanni; Müller, Stefan 13 2004 Interfacial energy and the Maxwell rule. Zbl 0721.73005Fonseca, Irene 13 1989 Motion of elastic thin films by anisotropic surface diffusion with curvature regularization. Zbl 1270.74127Fonseca, I.; Fusco, N.; Leoni, G.; Morini, M. 13 2012 Analytical validation of a continuum model for epitaxial growth with elasticity on vicinal surfaces. Zbl 1294.35160Dal Maso, G.; Fonseca, I.; Leoni, G. 13 2014 Multiple integrals under differential constraints: two-scale convergence and homogenization. Zbl 1198.49011Fonseca, Irene; Krömer, Stefan 12 2010 \(A\)-\(B\) quasiconvexity and implicit partial differential equations. Zbl 1030.35022Dacorogna, Bernard; Fonseca, Irene 12 2002 Brittle thin films. Zbl 0999.49012Braides, A.; Fonseca, I. 12 2001 Material voids in elastic solids with anisotropic surface energies. Zbl 1285.74003Fonseca, Irene; Fusco, Nicola; Leoni, Giovanni; Millot, Vincent 12 2011 From Jacobian to Hessian: distributional form and relaxation. Zbl 1101.49011Fonseca, Irene; Malý, Jan 12 2005 Regularity in time for weak solutions of a continuum model for epitaxial growth with elasticity on vicinal surfaces. Zbl 1331.35172Fonseca, Irene; Leoni, Giovanni; Lu, Xin Yang 12 2015 Higher-order quasiconvexity reduces to quasiconvexity. Zbl 1082.49017Dal Maso, Gianni; Fonseca, Irene; Leoni, Giovanni; Morini, Massimiliano 10 2004 Singular perturbation models in phase transitions for second-order materials. Zbl 1255.49022Chermisi, M.; Dal Maso, G.; Fonseca, I.; Leoni, G. 10 2011 On a volume-constrained variational problem. Zbl 0945.49005Ambrosio, Luigi; Fonseca, Irene; Marcellini, Paolo; Tartar, Luc 9 1999 The limit behavior of a family of variational multiscale problems. Zbl 1114.35008Baía, Margarida; Fonseca, Irene 9 2007 Motion of three-dimensional elastic films by anisotropic surface diffusion with curvature regularization. Zbl 1331.35162Fonseca, Irene; Fusco, Nicola; Leoni, Giovanni; Morini, Massimiliano 9 2015 Equi-integrability results for 3D-2D dimension reduction problems. Zbl 1044.49010Bocea, Marian; Fonseca, Irene 9 2002 Relaxation of bulk and interfacial energies. Zbl 0876.49037Barroso, Ana Cristina; Bouchitté, Guy; Buttazzo, Giuseppe; Fonseca, Irene 8 1996 An asymptotic study of the debonding of thin films. Zbl 0999.74079Bhattacharya, Kaushik; Fonseca, Irene; Francfort, Gilles 8 2002 On the total variation of the Jacobian. Zbl 1041.49016Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo 8 2004 Existence and regularity for mixtures of micromagnetic materials. Zbl 1149.74333Acerbi, Emilio; Fonseca, Irene; Mingione, Giuseppe 8 2006 Relaxation results in micromagnetics. Zbl 1072.49010Fonseca, Irene; Leoni, Giovanni 7 2000 Multiscale relaxation of convex functionals. Zbl 1040.49018Fonseca, Irene; Zappale, Elvira 7 2003 A model for dislocations in epitaxially strained elastic films. Zbl 1387.49005Fonseca, I.; Fusco, N.; Leoni, Giovanni; Morini, Massimiliano 7 2018 A minimization problem involving variation of the domain. Zbl 0772.49005Dacorogna, Bernard; Fonseca, Irene 6 1992 Some remarks on lower semicontinuity. Zbl 0980.49018Fonseca, Irene; Leoni, Giovanni 6 2000 Nonlocal character of the reduced theory of thin films with higher order perturbations. Zbl 1195.49019Dal Maso, Gianni; Fonseca, Irene; Leoni, Giovanni 6 2010 Topological degree, Jacobian determinants and relaxation. Zbl 1177.49066Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo 6 2005 Coupled singular perturbations for phase transitions. Zbl 1090.49001Fonseca, Irene; Popovici, Cristina 6 2005 The Cosserat vector in membrane theory: a variational approach. Zbl 1179.35015Bouchitté, Guy; Fonseca, Irene; Mascarenhas, M. Luísa 6 2009 Thin elastic films: the impact of higher order perturbations. Zbl 1131.49027Fonseca, Irene; Francfort, Gilles; Leoni, Giovanni 6 2007 Domain formation in membranes near the onset of instability. Zbl 1353.49013Fonseca, Irene; Hayrapetyan, Gurgen; Leoni, Giovanni; Zwicknagl, Barbara 5 2016 Second order asymptotic development for the anisotropic Cahn-Hilliard functional. Zbl 1329.49020Dal Maso, Gianni; Fonseca, Irene; Leoni, Giovanni 5 2015 Absolute minimizers for some ferromagnetic energies. (Minima absolus pour des énergies ferromagnétiques.) Zbl 0965.49015Dacorogna, Bernard; Fonseca, Irene 5 2000 Exact reconstruction of damaged color images using a total variation model. Zbl 1198.49045Fonseca, I.; Leoni, G.; Maggi, F.; Morini, M. 5 2010 On Hessian matrices in the space \(BH\). Zbl 1102.49021Fonseca, Irene; Leoni, Giovanni; Paroni, Roberto 5 2005 Relaxation of variational problems under trace constraints. Zbl 1013.49008Bouchitté, Guy; Fonseca, Irene; Mascarenhas, Luísa 5 2002 Homogenization of integral energies under periodically oscillating differential constraints. Zbl 1347.49017Davoli, Elisa; Fonseca, Irene 5 2016 Regularity results for an optimal design problem with a volume constraint. Zbl 1286.49041Carozza, Menita; Fonseca, Irene; Di Napoli, Antonia Passarelli 5 2014 A few remarks on variational models for denoising. Zbl 1304.49073Choksi, Rustum; Fonseca, Irene; Zwicknagl, Barbara 4 2014 Relaxation in \(BV \times L^ \infty\) of functionals depending on strain and composition. Zbl 0796.49042Fonseca, Irene; Kinderlehrer, David; Pedregal, Pablo 4 1993 Lower semicontinuity problems in Sobolev spaces with respect to a measure. Zbl 0844.49012Ambrosio, L.; Buttazzo, G.; Fonseca, I. 4 1996 On the inadequacy of the scaling of linear elasticity for 3D-2D asymptotics in a nonlinear setting. Zbl 1029.35216Fonseca, Irene; Francfort, Gilles 4 2001 The displacement problem for elastic crystals. Zbl 0691.73016Fonseca, I.; Tartar, L. 4 1989 Characterization of the multiscale limit associated with bounded sequences in BV. Zbl 1254.28009Ferreira, Rita; Fonseca, Irene 4 2012 On lower semicontinuity in \(BH^p\) and 2-quasiconvexification. Zbl 1040.49017Fonseca, Irene; Leoni, Giovanni; Paroni, Roberto 4 2003 A homogenization result in the gradient theory of phase transitions. Zbl 1425.74389Cristoferi, Riccardo; Fonseca, Irene; Hagerty, Adrian; Popovici, Cristina 4 2019 Regularity results for an optimal design problem with quasiconvex bulk energies. Zbl 1392.49037Carozza, Menita; Fonseca, Irene; Passarelli di Napoli, Antonia 3 2018 Remarks on the determinant in nonlinear elasticity and fracture mechanics. Zbl 0962.49012Fonseca, Irene; Malý, Jan 3 1999 Oscillations in a dynamical model of phase transitions. Zbl 0982.74052Brandon, Deborah; Fonseca, Irene; Swart, Pieter 3 2001 A Young measure approach to a nonlinear membrane model involving the bending moment. Zbl 1084.49012Bocea, Marian; Fonseca, Irene 3 2004 Regularity results for equilibria in a variational model for fracture. Zbl 0895.73080Acerbi, Emilio; Fonseca, Irene; Fusco, Nicola 3 1997 \(\Gamma\)-convergence, minimizing movements and generalized mean curvature evolution. Zbl 0829.35050Fonseca, Irene; Katsoulakis, Markos A. 3 1995 Reiterated homogenization in \(BV\) via multiscale convergence. Zbl 1244.49023Ferreira, Rita; Fonseca, Irene 3 2012 Periodic homogenization of integral energies under space-dependent differential constraints. Zbl 1354.49024Davoli, Elisa; Fonseca, Irene 3 2016 Shapes of epitaxially grown quantum dots. Zbl 1320.82047Fonseca, Irene; Pratelli, Aldo; Zwicknagl, Barbara 3 2014 On the motion of curved dislocations in three dimensions: simplified linearized elasticity. Zbl 1468.35198Fonseca, Irene; Ginster, Janusz; Wojtowytsch, Stephan 2 2021 Erratum to: “A homogenization result in the gradient theory of phase transitions”. Zbl 1443.74250Cristoferi, Riccardo; Fonseca, Irene; Hagerty, Adrian; Popovici, Cristina 2 2020 A homogenization result in the gradient theory of phase transitions. Zbl 1425.74389Cristoferi, Riccardo; Fonseca, Irene; Hagerty, Adrian; Popovici, Cristina 4 2019 A second order minimality condition for a free-boundary problem. Zbl 1445.49011Fonseca, Irene; Leoni, Giovanni; Mora, Maria Giovanna 1 2019 A model for dislocations in epitaxially strained elastic films. Zbl 1387.49005Fonseca, I.; Fusco, N.; Leoni, Giovanni; Morini, Massimiliano 7 2018 Regularity results for an optimal design problem with quasiconvex bulk energies. Zbl 1392.49037Carozza, Menita; Fonseca, Irene; Passarelli di Napoli, Antonia 3 2018 Asymptotic analysis of second order nonlocal Cahn-Hilliard-type functionals. Zbl 1383.49016Dal Maso, Gianni; Fonseca, Irene; Leoni, Giovanni 2 2018 A chromaticity-brightness model for color images denoising in a Meyer’s “\(u + v\)” framework. Zbl 1379.49011Ferreira, Rita; Fonseca, Irene; Mascarenhas, M. Luísa 2 2017 Equilibria and dislocations in epitaxial growth. Zbl 1364.82041Fonseca, I.; Leoni, G.; Morini, M. 1 2017 Domain formation in membranes near the onset of instability. Zbl 1353.49013Fonseca, Irene; Hayrapetyan, Gurgen; Leoni, Giovanni; Zwicknagl, Barbara 5 2016 Homogenization of integral energies under periodically oscillating differential constraints. Zbl 1347.49017Davoli, Elisa; Fonseca, Irene 5 2016 Periodic homogenization of integral energies under space-dependent differential constraints. Zbl 1354.49024Davoli, Elisa; Fonseca, Irene 3 2016 Dynamics for systems of screw dislocations. Zbl 1322.34059Blass, T.; Fonseca, I.; Leoni, G.; Morandotti, M. 17 2015 Regularity in time for weak solutions of a continuum model for epitaxial growth with elasticity on vicinal surfaces. Zbl 1331.35172Fonseca, Irene; Leoni, Giovanni; Lu, Xin Yang 12 2015 Motion of three-dimensional elastic films by anisotropic surface diffusion with curvature regularization. Zbl 1331.35162Fonseca, Irene; Fusco, Nicola; Leoni, Giovanni; Morini, Massimiliano 9 2015 Second order asymptotic development for the anisotropic Cahn-Hilliard functional. Zbl 1329.49020Dal Maso, Gianni; Fonseca, Irene; Leoni, Giovanni 5 2015 A note on two scale compactness for \(p = 1\). Zbl 1347.35026Bufford, Laura; Fonseca, Irene 2 2015 Multiscale homogenization in Kirchhoff’s nonlinear plate theory. Zbl 1329.35044Bufford, Laura; Davoli, Elisa; Fonseca, Irene 1 2015 Analytical validation of a continuum model for epitaxial growth with elasticity on vicinal surfaces. Zbl 1294.35160Dal Maso, G.; Fonseca, I.; Leoni, G. 13 2014 Regularity results for an optimal design problem with a volume constraint. Zbl 1286.49041Carozza, Menita; Fonseca, Irene; Di Napoli, Antonia Passarelli 5 2014 A few remarks on variational models for denoising. Zbl 1304.49073Choksi, Rustum; Fonseca, Irene; Zwicknagl, Barbara 4 2014 Shapes of epitaxially grown quantum dots. Zbl 1320.82047Fonseca, Irene; Pratelli, Aldo; Zwicknagl, Barbara 3 2014 Motion of elastic thin films by anisotropic surface diffusion with curvature regularization. Zbl 1270.74127Fonseca, I.; Fusco, N.; Leoni, G.; Morini, M. 13 2012 Characterization of the multiscale limit associated with bounded sequences in BV. Zbl 1254.28009Ferreira, Rita; Fonseca, Irene 4 2012 Reiterated homogenization in \(BV\) via multiscale convergence. Zbl 1244.49023Ferreira, Rita; Fonseca, Irene 3 2012 Material voids in elastic solids with anisotropic surface energies. Zbl 1285.74003Fonseca, Irene; Fusco, Nicola; Leoni, Giovanni; Millot, Vincent 12 2011 Singular perturbation models in phase transitions for second-order materials. Zbl 1255.49022Chermisi, M.; Dal Maso, G.; Fonseca, I.; Leoni, G. 10 2011 Relaxation in SBV\(_{p } (\varOmega ; S ^{d-1})\). Zbl 1251.49056Carita, Graça; Fonseca, Irene; Leoni, Giovanni 1 2011 Oscillations and concentrations generated by \({\mathcal A}\)-free mappings and weak lower semicontinuity of integral functionals. Zbl 1217.49016Fonseca, Irene; Kružík, Martin 14 2010 Multiple integrals under differential constraints: two-scale convergence and homogenization. Zbl 1198.49011Fonseca, Irene; Krömer, Stefan 12 2010 Nonlocal character of the reduced theory of thin films with higher order perturbations. Zbl 1195.49019Dal Maso, Gianni; Fonseca, Irene; Leoni, Giovanni 6 2010 Exact reconstruction of damaged color images using a total variation model. Zbl 1198.49045Fonseca, I.; Leoni, G.; Maggi, F.; Morini, M. 5 2010 A higher order model for image restoration: the one-dimensional case. Zbl 1193.49012dal Maso, G.; Fonseca, I.; Leoni, G.; Morini, M. 16 2009 The Cosserat vector in membrane theory: a variational approach. Zbl 1179.35015Bouchitté, Guy; Fonseca, Irene; Mascarenhas, M. Luísa 6 2009 Erratum to “Thin elastic films: the impact of higher order perturbations”. Zbl 1157.49020Fonseca, Irene; Francfort, Gilles; Leoni, Giovanni 1 2008 Modern methods in the calculus of variations. \(L^p\) spaces. Zbl 1153.49001Fonseca, Irene; Leoni, Giovanni 213 2007 Equilibrium configurations of epitaxially strained crystalline films: Existence and regularity results. Zbl 1126.74029Fonseca, I.; Fusco, N.; Leoni, G.; Morini, M. 29 2007 Surfactants in foam stability: a phase-field model. Zbl 1107.76076Fonseca, Irene; Morini, Massimiliano; Slastikov, Valeriy 23 2007 The limit behavior of a family of variational multiscale problems. Zbl 1114.35008Baía, Margarida; Fonseca, Irene 9 2007 Thin elastic films: the impact of higher order perturbations. Zbl 1131.49027Fonseca, Irene; Francfort, Gilles; Leoni, Giovanni 6 2007 Existence and regularity for mixtures of micromagnetic materials. Zbl 1149.74333Acerbi, Emilio; Fonseca, Irene; Mingione, Giuseppe 8 2006 Weak continuity and lower semicontinuity results for determinants. Zbl 1081.49013Fonseca, Irene; Leoni, Giovanni; Malý, Jan 18 2005 From Jacobian to Hessian: distributional form and relaxation. Zbl 1101.49011Fonseca, Irene; Malý, Jan 12 2005 Topological degree, Jacobian determinants and relaxation. Zbl 1177.49066Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo 6 2005 Coupled singular perturbations for phase transitions. Zbl 1090.49001Fonseca, Irene; Popovici, Cristina 6 2005 On Hessian matrices in the space \(BH\). Zbl 1102.49021Fonseca, Irene; Leoni, Giovanni; Paroni, Roberto 5 2005 Scalar minimizers with fractal singular sets. Zbl 1049.49015Fonseca, Irene; Malý, Jan; Mingione, Giuseppe 52 2004 \(\mathcal A\)-quasiconvexity: weak-star convergence and the gap. Zbl 1064.49016Fonseca, Irene; Leoni, Giovanni; Müller, Stefan 13 2004 Higher-order quasiconvexity reduces to quasiconvexity. Zbl 1082.49017Dal Maso, Gianni; Fonseca, Irene; Leoni, Giovanni; Morini, Massimiliano 10 2004 On the total variation of the Jacobian. Zbl 1041.49016Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo 8 2004 A Young measure approach to a nonlinear membrane model involving the bending moment. Zbl 1084.49012Bocea, Marian; Fonseca, Irene 3 2004 Relaxation of convex functionals: the gap problem. Zbl 1025.49012Acerbi, E.; Bouchitté, G.; Fonseca, I. 23 2003 Bending moment in membrane theory. Zbl 1059.74034Bouchitté, Guy; Fonseca, Irene; Mascarenhas, M. Luísa 16 2003 Multiscale relaxation of convex functionals. Zbl 1040.49018Fonseca, Irene; Zappale, Elvira 7 2003 On lower semicontinuity in \(BH^p\) and 2-quasiconvexification. Zbl 1040.49017Fonseca, Irene; Leoni, Giovanni; Paroni, Roberto 4 2003 An existence result for a nonconvex variational problem via regularity. Zbl 1044.49011Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo 41 2002 A global method for relaxation in \(W^{1,p}\) and in SBV\(_p\). Zbl 1028.49009Bouchitté, Guy; Fonseca, Irene; Leoni, Giovanni; Mascarenhas, Luísa 35 2002 A \(\Gamma\)-convergence result for the two-gradient theory of phase transitions. Zbl 1029.49040Conti, Sergio; Fonseca, Irene; Leoni, Giovanni 32 2002 \(A\)-\(B\) quasiconvexity and implicit partial differential equations. Zbl 1030.35022Dacorogna, Bernard; Fonseca, Irene 12 2002 Equi-integrability results for 3D-2D dimension reduction problems. Zbl 1044.49010Bocea, Marian; Fonseca, Irene 9 2002 An asymptotic study of the debonding of thin films. Zbl 0999.74079Bhattacharya, Kaushik; Fonseca, Irene; Francfort, Gilles 8 2002 Relaxation of variational problems under trace constraints. Zbl 1013.49008Bouchitté, Guy; Fonseca, Irene; Mascarenhas, Luísa 5 2002 A note on Meyers’ theorem in \(W^{k,1}\). Zbl 1006.49006Fonseca, Irene; Leoni, Giovanni; Malý, Jan; Paroni, Roberto 2 2002 On lower semicontinuity and relaxation. Zbl 1003.49015Fonseca, Irene; Leoni, Giovanni 15 2001 Brittle thin films. Zbl 0999.49012Braides, A.; Fonseca, I. 12 2001 On the inadequacy of the scaling of linear elasticity for 3D-2D asymptotics in a nonlinear setting. Zbl 1029.35216Fonseca, Irene; Francfort, Gilles 4 2001 Oscillations in a dynamical model of phase transitions. Zbl 0982.74052Brandon, Deborah; Fonseca, Irene; Swart, Pieter 3 2001 3D-2D asymptotic analysis for inhomogeneous thin films. Zbl 0987.35020Braides, A.; Fonseca, I.; Francfort, G. 50 2000 A-quasiconvexity: Relaxation and homogenization. Zbl 0971.35010Braides, Andrea; Fonseca, Irene; Leoni, Giovanni 44 2000 Second order singular perturbation models for phase transitions. Zbl 0958.49007Fonseca, Irene; Mantegazza, Carlo 24 2000 A relaxation theorem in the space of functions of bounded deformation. Zbl 0960.49014Barroso, Ana Cristina; Fonseca, Irene; Toader, Rodica 21 2000 Relaxation results in micromagnetics. Zbl 1072.49010Fonseca, Irene; Leoni, Giovanni 7 2000 Some remarks on lower semicontinuity. Zbl 0980.49018Fonseca, Irene; Leoni, Giovanni 6 2000 Absolute minimizers for some ferromagnetic energies. (Minima absolus pour des énergies ferromagnétiques.) Zbl 0965.49015Dacorogna, Bernard; Fonseca, Irene 5 2000 \(\mathcal A\)-quasiconvexity, lower semicontinuity, and Young measures. Zbl 0940.49014Fonseca, Irene; Müller, Stefan 109 1999 Structured deformations as energy minimizers in models of fracture and hystersis. Zbl 1001.74566Choksi, R.; del Piero, G.; Fonseca, I.; Owen, D. 18 1999 Manifold constrained variational problems. Zbl 0935.49006Dacorogna, B.; Fonseca, I.; Malý, J.; Trivisa, K. 16 1999 On a volume-constrained variational problem. Zbl 0945.49005Ambrosio, Luigi; Fonseca, Irene; Marcellini, Paolo; Tartar, Luc 9 1999 Remarks on the determinant in nonlinear elasticity and fracture mechanics. Zbl 0962.49012Fonseca, Irene; Malý, Jan 3 1999 Bulk and contact energies: Nucleation and relaxation. Zbl 0924.49010Fonseca, Irene; Leoni, Giovanni 2 1999 Analysis of concentration and oscillation effects generated by gradients. Zbl 0920.49009Fonseca, Irene; Müller, Stefan; Pedregal, Pablo 70 1998 A global method for relaxation. Zbl 0921.49004Bouchitté, Guy; Fonseca, Irene; Mascarenhas, Luisa 47 1998 The effective bulk energy of the relaxed energy of multiple integrals below the growth exponent. Zbl 0907.49008Bouchitté, Guy; Fonseca, Irene; Malý, Jan 20 1998 3D-2D asymptotic analysis of an optimal design problem for thin films. Zbl 0917.73052Fonseca, Irene; Francfort, Gilles 18 1998 Regularity results for anisotropic image segmentation models. Zbl 0899.49018Fonseca, Irene; Fusco, Nicola 48 1997 Relaxation of multiple integrals below the growth exponent. Zbl 0868.49011Fonseca, Irene; Malý, Jan 42 1997 Bulk and interfacial energy densities for structured deformations of continua. Zbl 0891.73078Choksi, Rustum; Fonseca, Irene 25 1997 Relaxation of multiple integral in subcritical Sobolev spaces. Zbl 0915.49011Fonseca, Irene; Marcellini, Paolo 21 1997 Regularity results for equilibria in a variational model for fracture. Zbl 0895.73080Acerbi, Emilio; Fonseca, Irene; Fusco, Nicola 3 1997 A change of variables formula for mappings in \(\mathbf{BV}\). Zbl 0883.49029Choksi, Rustum; Fonseca, Irene 2 1997 Regularity of minimizers for a class of membrane energies. Zbl 1015.49011Acerbi, Emilio; Fonseca, Irene; Fusco, Nicola 1 1997 Relaxation of bulk and interfacial energies. Zbl 0876.49037Barroso, Ana Cristina; Bouchitté, Guy; Buttazzo, Giuseppe; Fonseca, Irene 8 1996 Lower semicontinuity problems in Sobolev spaces with respect to a measure. Zbl 0844.49012Ambrosio, L.; Buttazzo, G.; Fonseca, I. 4 1996 Variational techniques for problems in materials science. Zbl 0871.49016Fonseca, Irene 1 1996 Degree theory in analysis and applications. Zbl 0852.47030Fonseca, Irene; Gangbo, Wilfrid 123 1995 Local invertibility of Sobolev functions. Zbl 0839.30018Fonseca, I.; Gangbo, W. 18 1995 Relaxation in \(BV\) versus quasiconvexification in \(W^{1,p}\); a model for the interaction between fracture and damage. Zbl 0847.73077Fonseca, Irene; Francfort, Gilles A. 16 1995 \(\Gamma\)-convergence, minimizing movements and generalized mean curvature evolution. Zbl 0829.35050Fonseca, Irene; Katsoulakis, Markos A. 3 1995 Anisotropic singular perturbations – the vectorial case. Zbl 0804.49013Barroso, Ana Cristina; Fonseca, Irene 28 1994 Energy functionals depending on elastic strain and chemical composition. Zbl 0800.49030Fonseca, Irene; Kinderlehrer, David; Pedregal, Pablo 14 1994 ...and 17 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,151 Authors 64 Fonseca, Irene 28 Conti, Sergio 26 Müller, Stefan 25 Leoni, Giovanni 24 Fusco, Nicola 24 Mingione, Giuseppe 23 Braides, Andrea 22 Zappale, Elvira 17 Kružík, Martin 16 Pedregal, Pablo 15 Kristensen, Jan 15 Malý, Jan 15 Rindler, Filip 13 Babadjian, Jean-François 13 Garroni, Adriana 13 Katzourakis, Nikolaos I. 13 Krömer, Stefan 13 Mandallena, Jean-Philippe 13 Morini, Massimiliano 12 Anza Hafsa, Omar 12 Dal Maso, Gianni 11 Alicandro, Roberto 11 Cicalese, Marco 11 Focardi, Matteo 11 Hencl, Stanislav 11 Kreisbeck, Carolin 11 Cardoso Matias, José Carlos Pedro 11 Passarelli di Napoli, Antonia 11 Ponsiglione, Marcello 10 Barroso, Ana Cristina 10 Bouchitté, Guy 10 Dacorogna, Bernard 10 Davoli, Elisa 10 De Philippis, Guido 10 Leonetti, Francesco 10 Mielke, Alexander 10 Morandotti, Marco 10 Velčić, Igor 9 Carozza, Menita 9 De Filippis, Cristiana 9 Ferreira, Rita 9 Hornung, Peter 9 Kohn, Robert Vita 9 Liu, Jianguo 9 Moroşanu, Costică 9 Ortiz, Michael 9 Paroni, Roberto 9 Šilhavý, Miroslav 9 Zeppieri, Caterina Ida 9 Zorgati, Hamdi 8 Almi, Stefano 8 Byun, Sun-Sig 8 Chambolle, Antonin 8 Colombo, Maria 8 Cupini, Giovanni 8 Del Piero, Gianpietro 8 Francfort, Gilles A. 8 Marcellini, Paolo 8 Mascolo, Elvira 8 Michaille, Gérard 8 Mora-Corral, Carlos 8 Owen, David R. 8 Santos, Pedro Miguel 8 Verde, Anna 7 Acerbi, Emilio 7 Ansini, Nadia 7 Bellido, José Carlos 7 Cristoferi, Riccardo 7 De Cicco, Virginia 7 Eleuteri, Michela 7 Esposito, Luca 7 Gao, Yuan 7 Maggi, Francesco 7 Olbermann, Heiner 7 Schmidt, Bernd 7 Serrano, Hélia 7 Stefanelli, Ulisse 7 Sternberg, Peter J. 7 Sychev, Mikhail A. 7 Yan, Baisheng 6 Arroyo-Rabasa, Adolfo 6 Barchiesi, Marco 6 Benešová, Barbora 6 Bousquet, Pierre 6 Brasco, Lorenzo 6 Dolzmann, Georg 6 Figalli, Alessio 6 Friedrich, Manuel 6 Mucci, Domenico 6 Novaga, Matteo 6 Oh, Jehan 6 Palombaro, Mariapia 6 Parry, Gareth P. 6 Piovano, Paolo 6 Ruf, Matthias 6 Thomas, Marita 6 Toader, Rodica 6 Tomarelli, Franco 5 Amar, Micol 5 Bach, Annika ...and 1,051 more Authors all top 5 Cited in 201 Serials 140 Archive for Rational Mechanics and Analysis 116 Calculus of Variations and Partial Differential Equations 75 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 69 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 46 Journal of Mathematical Analysis and Applications 46 SIAM Journal on Mathematical Analysis 34 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 28 Journal de Mathématiques Pures et Appliquées. Neuvième Série 27 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 25 Journal of Differential Equations 23 Journal of Functional Analysis 23 Journal of Elasticity 20 Annali di Matematica Pura ed Applicata. Serie Quarta 20 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 20 Advances in Calculus of Variations 17 Journal of the Mechanics and Physics of Solids 17 Journal of Nonlinear Science 14 Applied Mathematics and Optimization 13 NoDEA. Nonlinear Differential Equations and Applications 12 Communications on Pure and Applied Mathematics 12 Continuum Mechanics and Thermodynamics 11 Discrete and Continuous Dynamical Systems 10 Computer Methods in Applied Mechanics and Engineering 10 Proceedings of the American Mathematical Society 9 Discrete and Continuous Dynamical Systems. Series S 8 Communications in Mathematical Physics 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 The Journal of Geometric Analysis 8 Mathematics and Mechanics of Solids 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Communications on Pure and Applied Analysis 7 Journal of Computational Physics 7 Journal of Optimization Theory and Applications 7 Manuscripta Mathematica 7 Transactions of the American Mathematical Society 7 European Journal of Applied Mathematics 7 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Applicable Analysis 6 Mathematische Annalen 6 Ricerche di Matematica 6 Physica D 6 Asymptotic Analysis 6 Forum Mathematicum 6 Journal of the European Mathematical Society (JEMS) 6 Communications in Contemporary Mathematics 5 Journal of Statistical Physics 5 Mathematical Methods in the Applied Sciences 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 5 Communications in Partial Differential Equations 5 Interfaces and Free Boundaries 5 Advances in Nonlinear Analysis 5 Nonlinear Analysis. Theory, Methods & Applications 5 Journal of Elliptic and Parabolic Equations 4 Nonlinearity 4 Quarterly of Applied Mathematics 4 Zeitschrift für Analysis und ihre Anwendungen 4 Chinese Annals of Mathematics. Series B 4 Bulletin of the American Mathematical Society. New Series 4 Journal of Mathematical Imaging and Vision 4 Analysis and Applications (Singapore) 4 SIAM Journal on Imaging Sciences 4 Analysis & PDE 4 Evolution Equations and Control Theory 3 Inverse Problems 3 Israel Journal of Mathematics 3 Journal d’Analyse Mathématique 3 Journal of Mathematical Physics 3 Rocky Mountain Journal of Mathematics 3 Mathematics of Computation 3 Mathematische Nachrichten 3 SIAM Journal on Control and Optimization 3 Siberian Mathematical Journal 3 Applications of Mathematics 3 Journal of Global Optimization 3 SIAM Journal on Applied Mathematics 3 Potential Analysis 3 SIAM Journal on Scientific Computing 3 Journal of Convex Analysis 3 Bulletin des Sciences Mathématiques 3 Doklady Mathematics 3 Nonlinear Analysis. Real World Applications 3 Milan Journal of Mathematics 3 Multiscale Modeling & Simulation 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 3 Mathematics and Mechanics of Complex Systems 3 Bollettino dell’Unione Matematica Italiana 2 International Journal of Engineering Science 2 Advances in Mathematics 2 Duke Mathematical Journal 2 Inventiones Mathematicae 2 Mathematische Zeitschrift 2 Numerical Functional Analysis and Optimization 2 Numerische Mathematik 2 Annals of Global Analysis and Geometry 2 Applied Mathematics Letters 2 Journal of Scientific Computing 2 Geometric and Functional Analysis. GAFA 2 Mathematical Programming. Series A. Series B 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI ...and 101 more Serials all top 5 Cited in 50 Fields 701 Calculus of variations and optimal control; optimization (49-XX) 554 Partial differential equations (35-XX) 451 Mechanics of deformable solids (74-XX) 102 Statistical mechanics, structure of matter (82-XX) 93 Real functions (26-XX) 89 Functional analysis (46-XX) 55 Numerical analysis (65-XX) 53 Operator theory (47-XX) 48 Fluid mechanics (76-XX) 39 Measure and integration (28-XX) 38 Differential geometry (53-XX) 38 Global analysis, analysis on manifolds (58-XX) 24 Computer science (68-XX) 24 Information and communication theory, circuits (94-XX) 22 Classical thermodynamics, heat transfer (80-XX) 21 Probability theory and stochastic processes (60-XX) 21 Optics, electromagnetic theory (78-XX) 20 Ordinary differential equations (34-XX) 17 Functions of a complex variable (30-XX) 17 Operations research, mathematical programming (90-XX) 15 Dynamical systems and ergodic theory (37-XX) 12 Convex and discrete geometry (52-XX) 11 Biology and other natural sciences (92-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 Statistics (62-XX) 8 Mechanics of particles and systems (70-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Approximations and expansions (41-XX) 7 Integral equations (45-XX) 6 General topology (54-XX) 6 Quantum theory (81-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 History and biography (01-XX) 5 Potential theory (31-XX) 4 Difference and functional equations (39-XX) 4 Algebraic topology (55-XX) 4 Manifolds and cell complexes (57-XX) 4 Systems theory; control (93-XX) 3 General and overarching topics; collections (00-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Integral transforms, operational calculus (44-XX) 2 Geometry (51-XX) 2 Geophysics (86-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.