Edit Profile (opens in new tab) Fonseca, Irene Co-Author Distance Author ID: fonseca.irene Published as: Fonseca, Irene; Fonseca, I. Homepage: https://www.cmu.edu/math/people/faculty/fonseca.html External Links: Women in Mathematics · MGP · ORCID · Wikidata · Google Scholar · dblp · GND · IdRef Documents Indexed: 144 Publications since 1987, including 2 Books and 3 Additional arXiv Preprints 2 Contributions as Editor Biographic References: 1 Publication Co-Authors: 77 Co-Authors with 136 Joint Publications 1,826 Co-Co-Authors all top 5 Co-Authors 10 single-authored 38 Leoni, Giovanni 12 Fusco, Nicola 10 Morini, Massimiliano 8 Bouchitté, Guy 8 Francfort, Gilles A. 8 Malý, Jan 7 Dal Maso, Gianni 7 Davoli, Elisa 6 Cristoferi, Riccardo 6 Dacorogna, Bernard 6 Ferreira, Rita 6 Mascarenhas, Maria-Luisa 6 Müller, Stefan 5 Choksi, Rustum 5 Marcellini, Paolo 4 Acerbi, Emilio 4 Mingione, Giuseppe 4 Paroni, Roberto 4 Venkatraman, Raghavendra 3 Barroso, Ana Cristina 3 Braides, Andrea 3 Ganedi, Likhit 3 Hagerty, Adrian 3 Liu, Pan 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 Lu, Xinyang 2 Passarelli di Napoli, Antonia 2 Schaeffer, Jack W. 2 Shvartsman, Mikhail M. 2 Swart, Pieter J. 1 Acharya, Amit 1 Babadjian, Jean-François 1 Baía, Margarida 1 Bhattacharya, Kaushik 1 Blass, Timothy 1 Carita, Graça 1 Chermisi, Milena 1 Conti, Sergio 1 Del Piero, Gianpietro 1 Di Fratta, Giovanni 1 Ginster, Janusz 1 Hayrapetyan, Gurgen 1 Iglesias, José Antonio 1 Katsoulakis, Markos A. 1 Kreusser, Lisa Maria 1 Krömer, Stefan 1 Kružík, Martin 1 Lewicka, Marta 1 Lin, Jessica T. 1 Maggi, Francesco 1 Mantegazza, Carlo 1 Millot, Vincent 1 Mora, Maria Giovanna 1 Morandotti, Marco 1 Muratov, Cyrill B. 1 Owen, David Ross 1 Rybka, Piotr 1 Schönlieb, Carola-Bibiane 1 Slastikov, Valeriy V. 1 Stinson, Kerrek 1 Thorpe, Matthew 1 Toader, Rodica 1 Trivisa, Konstantina 1 Wojtowytsch, Stephan 1 Zappale, Elvira all top 5 Serials 20 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 Indiana University Mathematics Journal 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Quarterly of Applied Mathematics 4 Journal of Nonlinear Science 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 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 Interfaces and Free Boundaries 2 Portugaliae Mathematica. Nova Série 2 Advances in Calculus of Variations 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 Analysis & PDE 1 Springer Monographs in Mathematics 1 European Mathematical Society Magazine all top 5 Fields 114 Calculus of variations and optimal control; optimization (49-XX) 66 Mechanics of deformable solids (74-XX) 47 Partial differential equations (35-XX) 15 Real functions (26-XX) 13 Statistical mechanics, structure of matter (82-XX) 6 Functional analysis (46-XX) 6 Computer science (68-XX) 6 Information and communication theory, circuits (94-XX) 5 Measure and integration (28-XX) 3 Differential geometry (53-XX) 3 Fluid mechanics (76-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Ordinary differential equations (34-XX) 2 Operator theory (47-XX) 1 Functions of a complex variable (30-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-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 125 Publications have been cited 2,845 times in 1,664 Documents Cited by ▼ Year ▼ Modern methods in the calculus of variations. \(L^p\) spaces. Zbl 1153.49001 Fonseca, Irene; Leoni, Giovanni 310 2007 Degree theory in analysis and applications. Zbl 0852.47030 Fonseca, Irene; Gangbo, Wilfrid 163 1995 \(\mathcal A\)-quasiconvexity, lower semicontinuity, and Young measures. Zbl 0940.49014 Fonseca, Irene; Müller, Stefan 151 1999 A uniqueness proof for the Wulff theorem. Zbl 0752.49019 Fonseca, Irene; Müller, Stefan 103 1991 Quasi-convex integrands and lower semicontinuity in \(L^ 1\). Zbl 0764.49012 Fonseca, Irene; Müller, Stefan 94 1992 Relaxation of quasiconvex functionals in \(BV(\Omega, \mathbb{R}^ N)\) for integrands \(f(x, u, \bigtriangledown u)\). Zbl 0788.49039 Fonseca, Irene; Müller, Stefan 90 1993 The gradient theory of phase transitions for systems with two potential wells. Zbl 0676.49005 Fonseca, Irene; Tartar, Luc 86 1989 Scalar minimizers with fractal singular sets. Zbl 1049.49015 Fonseca, Irene; Malý, Jan; Mingione, Giuseppe 79 2004 Analysis of concentration and oscillation effects generated by gradients. Zbl 0920.49009 Fonseca, Irene; Müller, Stefan; Pedregal, Pablo 78 1998 A global method for relaxation. Zbl 0921.49004 Bouchitté, Guy; Fonseca, Irene; Mascarenhas, Luisa 67 1998 3D-2D asymptotic analysis for inhomogeneous thin films. Zbl 0987.35020 Braides, A.; Fonseca, I.; Francfort, G. 64 2000 The Wulff theorem revisited. Zbl 0725.49017 Fonseca, Irene 59 1991 A global method for relaxation in \(W^{1,p}\) and in SBV\(_p\). Zbl 1028.49009 Bouchitté, Guy; Fonseca, Irene; Leoni, Giovanni; Mascarenhas, Luísa 56 2002 A-quasiconvexity: Relaxation and homogenization. Zbl 0971.35010 Braides, Andrea; Fonseca, Irene; Leoni, Giovanni 55 2000 Regularity results for anisotropic image segmentation models. Zbl 0899.49018 Fonseca, Irene; Fusco, Nicola 54 1997 Relaxation of multiple integrals below the growth exponent. Zbl 0868.49011 Fonseca, Irene; Malý, Jan 53 1997 An existence result for a nonconvex variational problem via regularity. Zbl 1044.49011 Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo 49 2002 Variational methods for elastic crystals. Zbl 0611.73023 Fonseca, Irene 43 1987 The lower quasiconvex envelope of the stored energy function for an elastic crystal. Zbl 0718.73075 Fonseca, Irene 40 1988 Equilibrium configurations of epitaxially strained crystalline films: Existence and regularity results. Zbl 1126.74029 Fonseca, I.; Fusco, N.; Leoni, G.; Morini, M. 39 2007 Anisotropic singular perturbations – the vectorial case. Zbl 0804.49013 Barroso, Ana Cristina; Fonseca, Irene 38 1994 A \(\Gamma\)-convergence result for the two-gradient theory of phase transitions. Zbl 1029.49040 Conti, Sergio; Fonseca, Irene; Leoni, Giovanni 38 2002 Surfactants in foam stability: a phase-field model. Zbl 1107.76076 Fonseca, Irene; Morini, Massimiliano; Slastikov, Valeriy 34 2007 Relaxation of convex functionals: the gap problem. Zbl 1025.49012 Acerbi, E.; Bouchitté, G.; Fonseca, I. 32 2003 Bulk and interfacial energy densities for structured deformations of continua. Zbl 0891.73078 Choksi, Rustum; Fonseca, Irene 29 1997 Second order singular perturbation models for phase transitions. Zbl 0958.49007 Fonseca, Irene; Mantegazza, Carlo 28 2000 A relaxation theorem in the space of functions of bounded deformation. Zbl 0960.49014 Barroso, Ana Cristina; Fonseca, Irene; Toader, Rodica 27 2000 Local invertibility of Sobolev functions. Zbl 0839.30018 Fonseca, I.; Gangbo, W. 26 1995 The effective bulk energy of the relaxed energy of multiple integrals below the growth exponent. Zbl 0907.49008 Bouchitté, Guy; Fonseca, Irene; Malý, Jan 26 1998 Relaxation of multiple integral in subcritical Sobolev spaces. Zbl 0915.49011 Fonseca, Irene; Marcellini, Paolo 24 1997 Lower semicontinuity of surface energies. Zbl 0757.49013 Fonseca, Irene 23 1992 Weak continuity and lower semicontinuity results for determinants. Zbl 1081.49013 Fonseca, Irene; Leoni, Giovanni; Malý, Jan 22 2005 3D-2D asymptotic analysis of an optimal design problem for thin films. Zbl 0917.73052 Fonseca, Irene; Francfort, Gilles 22 1998 A higher order model for image restoration: the one-dimensional case. Zbl 1193.49012 dal Maso, G.; Fonseca, I.; Leoni, G.; Morini, M. 20 2009 Brittle thin films. Zbl 0999.49012 Braides, A.; Fonseca, I. 20 2001 Manifold constrained variational problems. Zbl 0935.49006 Dacorogna, B.; Fonseca, I.; Malý, J.; Trivisa, K. 19 1999 Structured deformations as energy minimizers in models of fracture and hystersis. Zbl 1001.74566 Choksi, R.; del Piero, G.; Fonseca, I.; Owen, D. 19 1999 Dynamics for systems of screw dislocations. Zbl 1322.34059 Blass, T.; Fonseca, I.; Leoni, G.; Morandotti, M. 18 2015 Equilibrium configurations of defective crystals. Zbl 0785.73007 Fonseca, Irene; Parry, Gareth 18 1992 Motion of elastic thin films by anisotropic surface diffusion with curvature regularization. Zbl 1270.74127 Fonseca, I.; Fusco, N.; Leoni, G.; Morini, M. 18 2012 \(\mathcal A\)-quasiconvexity: weak-star convergence and the gap. Zbl 1064.49016 Fonseca, Irene; Leoni, Giovanni; Müller, Stefan 18 2004 On lower semicontinuity and relaxation. Zbl 1003.49015 Fonseca, Irene; Leoni, Giovanni 18 2001 Material voids in elastic solids with anisotropic surface energies. Zbl 1285.74003 Fonseca, Irene; Fusco, Nicola; Leoni, Giovanni; Millot, Vincent 17 2011 Oscillations and concentrations generated by \({\mathcal A}\)-free mappings and weak lower semicontinuity of integral functionals. Zbl 1217.49016 Fonseca, Irene; Kružík, Martin 17 2010 Bending moment in membrane theory. Zbl 1059.74034 Bouchitté, Guy; Fonseca, Irene; Mascarenhas, M. Luísa 17 2003 Relaxation in \(BV\) versus quasiconvexification in \(W^{1,p}\); a model for the interaction between fracture and damage. Zbl 0847.73077 Fonseca, Irene; Francfort, Gilles A. 17 1995 Multiple integrals under differential constraints: two-scale convergence and homogenization. Zbl 1198.49011 Fonseca, Irene; Krömer, Stefan 16 2010 Energy functionals depending on elastic strain and chemical composition. Zbl 0800.49030 Fonseca, Irene; Kinderlehrer, David; Pedregal, Pablo 16 1994 Analytical validation of a continuum model for epitaxial growth with elasticity on vicinal surfaces. Zbl 1294.35160 Dal Maso, G.; Fonseca, I.; Leoni, G. 15 2014 Relaxation of multiple integrals in the space \(BV(\Omega{},R^ p)\). Zbl 0794.49012 Fonseca, Irene; Rybka, Piotr 14 1992 Interfacial energy and the Maxwell rule. Zbl 0721.73005 Fonseca, Irene 14 1989 Singular perturbation models in phase transitions for second-order materials. Zbl 1255.49022 Chermisi, M.; Dal Maso, G.; Fonseca, I.; Leoni, G. 14 2011 Regularity in time for weak solutions of a continuum model for epitaxial growth with elasticity on vicinal surfaces. Zbl 1331.35172 Fonseca, Irene; Leoni, Giovanni; Lu, Xin Yang 13 2015 Phase transitions of elastic solid materials. Zbl 0751.73005 Fonseca, Irene 13 1989 Higher-order quasiconvexity reduces to quasiconvexity. Zbl 1082.49017 Dal Maso, Gianni; Fonseca, Irene; Leoni, Giovanni; Morini, Massimiliano 13 2004 \(A\)-\(B\) quasiconvexity and implicit partial differential equations. Zbl 1030.35022 Dacorogna, Bernard; Fonseca, Irene 13 2002 Relaxation of bulk and interfacial energies. Zbl 0876.49037 Barroso, Ana Cristina; Bouchitté, Guy; Buttazzo, Giuseppe; Fonseca, Irene 12 1996 From Jacobian to Hessian: distributional form and relaxation. Zbl 1101.49011 Fonseca, Irene; Malý, Jan 12 2005 A homogenization result in the gradient theory of phase transitions. Zbl 1425.74389 Cristoferi, Riccardo; Fonseca, Irene; Hagerty, Adrian; Popovici, Cristina 12 2019 Motion of three-dimensional elastic films by anisotropic surface diffusion with curvature regularization. Zbl 1331.35162 Fonseca, Irene; Fusco, Nicola; Leoni, Giovanni; Morini, Massimiliano 11 2015 On the total variation of the Jacobian. Zbl 1041.49016 Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo 11 2004 Existence and regularity for mixtures of micromagnetic materials. Zbl 1149.74333 Acerbi, Emilio; Fonseca, Irene; Mingione, Giuseppe 11 2006 The limit behavior of a family of variational multiscale problems. Zbl 1114.35008 Baía, Margarida; Fonseca, Irene 10 2007 On a volume-constrained variational problem. Zbl 0945.49005 Ambrosio, Luigi; Fonseca, Irene; Marcellini, Paolo; Tartar, Luc 10 1999 An asymptotic study of the debonding of thin films. Zbl 0999.74079 Bhattacharya, Kaushik; Fonseca, Irene; Francfort, Gilles 10 2002 Coupled singular perturbations for phase transitions. Zbl 1090.49001 Fonseca, Irene; Popovici, Cristina 10 2005 Homogenization of integral energies under periodically oscillating differential constraints. Zbl 1347.49017 Davoli, Elisa; Fonseca, Irene 9 2016 A model for dislocations in epitaxially strained elastic films. Zbl 1387.49005 Fonseca, I.; Fusco, N.; Leoni, Giovanni; Morini, Massimiliano 9 2018 The Cosserat vector in membrane theory: a variational approach. Zbl 1179.35015 Bouchitté, Guy; Fonseca, Irene; Mascarenhas, M. Luísa 8 2009 Nonlocal character of the reduced theory of thin films with higher order perturbations. Zbl 1195.49019 Dal Maso, Gianni; Fonseca, Irene; Leoni, Giovanni 8 2010 Equi-integrability results for 3D-2D dimension reduction problems. Zbl 1044.49010 Bocea, Marian; Fonseca, Irene 8 2002 Multiscale relaxation of convex functionals. Zbl 1040.49018 Fonseca, Irene; Zappale, Elvira 8 2003 Domain formation in membranes near the onset of instability. Zbl 1353.49013 Fonseca, Irene; Hayrapetyan, Gurgen; Leoni, Giovanni; Zwicknagl, Barbara 8 2016 Shapes of epitaxially grown quantum dots. Zbl 1320.82047 Fonseca, Irene; Pratelli, Aldo; Zwicknagl, Barbara 7 2014 Relaxation results in micromagnetics. Zbl 1072.49010 Fonseca, Irene; Leoni, Giovanni 7 2000 On Hessian matrices in the space \(BH\). Zbl 1102.49021 Fonseca, Irene; Leoni, Giovanni; Paroni, Roberto 7 2005 Regularity results for an optimal design problem with a volume constraint. Zbl 1286.49041 Carozza, Menita; Fonseca, Irene; Di Napoli, Antonia Passarelli 7 2014 Some remarks on lower semicontinuity. Zbl 0980.49018 Fonseca, Irene; Leoni, Giovanni 7 2000 A minimization problem involving variation of the domain. Zbl 0772.49005 Dacorogna, Bernard; Fonseca, Irene 6 1992 Relaxation in \(BV \times L^ \infty\) of functionals depending on strain and composition. Zbl 0796.49042 Fonseca, Irene; Kinderlehrer, David; Pedregal, Pablo 6 1993 Second order asymptotic development for the anisotropic Cahn-Hilliard functional. Zbl 1329.49020 Dal Maso, Gianni; Fonseca, Irene; Leoni, Giovanni 6 2015 Topological degree, Jacobian determinants and relaxation. Zbl 1177.49066 Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo 6 2005 Characterization of the multiscale limit associated with bounded sequences in BV. Zbl 1254.28009 Ferreira, Rita; Fonseca, Irene 6 2012 Relaxation of variational problems under trace constraints. Zbl 1013.49008 Bouchitté, Guy; Fonseca, Irene; Mascarenhas, Luísa 6 2002 Erratum to: “A homogenization result in the gradient theory of phase transitions”. Zbl 1443.74250 Cristoferi, Riccardo; Fonseca, Irene; Hagerty, Adrian; Popovici, Cristina 6 2020 Periodic homogenization of integral energies under space-dependent differential constraints. Zbl 1354.49024 Davoli, Elisa; Fonseca, Irene 6 2016 Thin elastic films: the impact of higher order perturbations. Zbl 1131.49027 Fonseca, Irene; Francfort, Gilles; Leoni, Giovanni 6 2007 Exact reconstruction of damaged color images using a total variation model. Zbl 1198.49045 Fonseca, I.; Leoni, G.; Maggi, F.; Morini, M. 5 2010 Absolute minimizers for some ferromagnetic energies. (Minima absolus pour des énergies ferromagnétiques.) Zbl 0965.49015 Dacorogna, Bernard; Fonseca, Irene 5 2000 Regularity results for an optimal design problem with quasiconvex bulk energies. Zbl 1392.49037 Carozza, Menita; Fonseca, Irene; Passarelli di Napoli, Antonia 5 2018 A few remarks on variational models for denoising. Zbl 1304.49073 Choksi, Rustum; Fonseca, Irene; Zwicknagl, Barbara 4 2014 The weighted Ambrosio-Tortorelli approximation scheme. Zbl 1381.49050 Fonseca, Irene; Liu, Pan 4 2017 The displacement problem for elastic crystals. Zbl 0691.73016 Fonseca, I.; Tartar, L. 4 1989 Reiterated homogenization in \(BV\) via multiscale convergence. Zbl 1244.49023 Ferreira, Rita; Fonseca, Irene 4 2012 A Young measure approach to a nonlinear membrane model involving the bending moment. Zbl 1084.49012 Bocea, Marian; Fonseca, Irene 4 2004 A note on Meyers’ theorem in \(W^{k,1}\). Zbl 1006.49006 Fonseca, Irene; Leoni, Giovanni; Malý, Jan; Paroni, Roberto 4 2002 Lower semicontinuity problems in Sobolev spaces with respect to a measure. Zbl 0844.49012 Ambrosio, L.; Buttazzo, G.; Fonseca, I. 4 1996 On lower semicontinuity in \(BH^p\) and 2-quasiconvexification. Zbl 1040.49017 Fonseca, Irene; Leoni, Giovanni; Paroni, Roberto 4 2003 Homogenization of quasi-crystalline functionals via two-scale-cut-and-project convergence. Zbl 1460.49010 Ferreira, Rita; Fonseca, Irene; Venkatraman, Raghavendra 4 2021 Asymptotic analysis of second order nonlocal Cahn-Hilliard-type functionals. Zbl 1383.49016 Dal Maso, Gianni; Fonseca, Irene; Leoni, Giovanni 4 2018 Adaptive image processing: first order PDE constraint regularizers and a bilevel training scheme. Zbl 1511.94010 Davoli, Elisa; Fonseca, Irene; Liu, Pan 3 2023 Global and local energy minimizers for a nanowire growth model. Zbl 1537.76173 Fonseca, Irene; Fusco, Nicola; Leoni, Giovanni; Morini, Massimiliano 2 2023 The mathematics of thin structures. Zbl 1511.49011 Babadjian, Jean-François; Di Fratta, Giovanni; Fonseca, Irene; Francfort, Gilles A.; Lewicka, Marta; Muratov, Cyrill B. 1 2023 Anisotropic surface tensions for phase transitions in periodic media. Zbl 1487.49018 Choksi, Rustum; Fonseca, Irene; Lin, Jessica; Venkatraman, Raghavendra 1 2022 Homogenization of quasi-crystalline functionals via two-scale-cut-and-project convergence. Zbl 1460.49010 Ferreira, Rita; Fonseca, Irene; Venkatraman, Raghavendra 4 2021 On the motion of curved dislocations in three dimensions: simplified linearized elasticity. Zbl 1468.35198 Fonseca, Irene; Ginster, Janusz; Wojtowytsch, Stephan 3 2021 Erratum to: “A homogenization result in the gradient theory of phase transitions”. Zbl 1443.74250 Cristoferi, Riccardo; Fonseca, Irene; Hagerty, Adrian; Popovici, Cristina 6 2020 A homogenization result in the gradient theory of phase transitions. Zbl 1425.74389 Cristoferi, Riccardo; Fonseca, Irene; Hagerty, Adrian; Popovici, Cristina 12 2019 Second-order structured deformations in the space of functions of bounded Hessian. Zbl 1437.49028 Fonseca, Irene; Hagerty, Adrian; Paroni, Roberto 2 2019 A second order minimality condition for a free-boundary problem. Zbl 1445.49011 Fonseca, Irene; Leoni, Giovanni; Mora, Maria Giovanna 1 2019 A model for dislocations in epitaxially strained elastic films. Zbl 1387.49005 Fonseca, I.; Fusco, N.; Leoni, Giovanni; Morini, Massimiliano 9 2018 Regularity results for an optimal design problem with quasiconvex bulk energies. Zbl 1392.49037 Carozza, Menita; Fonseca, Irene; Passarelli di Napoli, Antonia 5 2018 Asymptotic analysis of second order nonlocal Cahn-Hilliard-type functionals. Zbl 1383.49016 Dal Maso, Gianni; Fonseca, Irene; Leoni, Giovanni 4 2018 Relaxation of \(p\)-growth integral functionals under space-dependent differential constraints. Zbl 1407.49014 Davoli, Elisa; Fonseca, Irene 2 2018 The weighted Ambrosio-Tortorelli approximation scheme. Zbl 1381.49050 Fonseca, Irene; Liu, Pan 4 2017 Equilibria and dislocations in epitaxial growth. Zbl 1364.82041 Fonseca, I.; Leoni, G.; Morini, M. 2 2017 A chromaticity-brightness model for color images denoising in a Meyer’s “\(u + v\)” framework. Zbl 1379.49011 Ferreira, Rita; Fonseca, Irene; Mascarenhas, M. Luísa 2 2017 Homogenization of integral energies under periodically oscillating differential constraints. Zbl 1347.49017 Davoli, Elisa; Fonseca, Irene 9 2016 Domain formation in membranes near the onset of instability. Zbl 1353.49013 Fonseca, Irene; Hayrapetyan, Gurgen; Leoni, Giovanni; Zwicknagl, Barbara 8 2016 Periodic homogenization of integral energies under space-dependent differential constraints. Zbl 1354.49024 Davoli, Elisa; Fonseca, Irene 6 2016 Dynamics for systems of screw dislocations. Zbl 1322.34059 Blass, T.; Fonseca, I.; Leoni, G.; Morandotti, M. 18 2015 Regularity in time for weak solutions of a continuum model for epitaxial growth with elasticity on vicinal surfaces. Zbl 1331.35172 Fonseca, Irene; Leoni, Giovanni; Lu, Xin Yang 13 2015 Motion of three-dimensional elastic films by anisotropic surface diffusion with curvature regularization. Zbl 1331.35162 Fonseca, Irene; Fusco, Nicola; Leoni, Giovanni; Morini, Massimiliano 11 2015 Second order asymptotic development for the anisotropic Cahn-Hilliard functional. Zbl 1329.49020 Dal Maso, Gianni; Fonseca, Irene; Leoni, Giovanni 6 2015 A note on two scale compactness for \(p = 1\). Zbl 1347.35026 Bufford, Laura; Fonseca, Irene 3 2015 Multiscale homogenization in Kirchhoff’s nonlinear plate theory. Zbl 1329.35044 Bufford, Laura; Davoli, Elisa; Fonseca, Irene 3 2015 Analytical validation of a continuum model for epitaxial growth with elasticity on vicinal surfaces. Zbl 1294.35160 Dal Maso, G.; Fonseca, I.; Leoni, G. 15 2014 Shapes of epitaxially grown quantum dots. Zbl 1320.82047 Fonseca, Irene; Pratelli, Aldo; Zwicknagl, Barbara 7 2014 Regularity results for an optimal design problem with a volume constraint. Zbl 1286.49041 Carozza, Menita; Fonseca, Irene; Di Napoli, Antonia Passarelli 7 2014 A few remarks on variational models for denoising. Zbl 1304.49073 Choksi, Rustum; Fonseca, Irene; Zwicknagl, Barbara 4 2014 Motion of elastic thin films by anisotropic surface diffusion with curvature regularization. Zbl 1270.74127 Fonseca, I.; Fusco, N.; Leoni, G.; Morini, M. 18 2012 Characterization of the multiscale limit associated with bounded sequences in BV. Zbl 1254.28009 Ferreira, Rita; Fonseca, Irene 6 2012 Reiterated homogenization in \(BV\) via multiscale convergence. Zbl 1244.49023 Ferreira, Rita; Fonseca, Irene 4 2012 Material voids in elastic solids with anisotropic surface energies. Zbl 1285.74003 Fonseca, Irene; Fusco, Nicola; Leoni, Giovanni; Millot, Vincent 17 2011 Singular perturbation models in phase transitions for second-order materials. Zbl 1255.49022 Chermisi, M.; Dal Maso, G.; Fonseca, I.; Leoni, G. 14 2011 Relaxation in SBV\(_{p } (\varOmega ; S ^{d-1})\). Zbl 1251.49056 Carita, Graça; Fonseca, Irene; Leoni, Giovanni 1 2011 Oscillations and concentrations generated by \({\mathcal A}\)-free mappings and weak lower semicontinuity of integral functionals. Zbl 1217.49016 Fonseca, Irene; Kružík, Martin 17 2010 Multiple integrals under differential constraints: two-scale convergence and homogenization. Zbl 1198.49011 Fonseca, Irene; Krömer, Stefan 16 2010 Nonlocal character of the reduced theory of thin films with higher order perturbations. Zbl 1195.49019 Dal Maso, Gianni; Fonseca, Irene; Leoni, Giovanni 8 2010 Exact reconstruction of damaged color images using a total variation model. Zbl 1198.49045 Fonseca, I.; Leoni, G.; Maggi, F.; Morini, M. 5 2010 A higher order model for image restoration: the one-dimensional case. Zbl 1193.49012 dal Maso, G.; Fonseca, I.; Leoni, G.; Morini, M. 20 2009 The Cosserat vector in membrane theory: a variational approach. Zbl 1179.35015 Bouchitté, Guy; Fonseca, Irene; Mascarenhas, M. Luísa 8 2009 Erratum to “Thin elastic films: the impact of higher order perturbations”. Zbl 1157.49020 Fonseca, Irene; Francfort, Gilles; Leoni, Giovanni 1 2008 Modern methods in the calculus of variations. \(L^p\) spaces. Zbl 1153.49001 Fonseca, Irene; Leoni, Giovanni 310 2007 Equilibrium configurations of epitaxially strained crystalline films: Existence and regularity results. Zbl 1126.74029 Fonseca, I.; Fusco, N.; Leoni, G.; Morini, M. 39 2007 Surfactants in foam stability: a phase-field model. Zbl 1107.76076 Fonseca, Irene; Morini, Massimiliano; Slastikov, Valeriy 34 2007 The limit behavior of a family of variational multiscale problems. Zbl 1114.35008 Baía, Margarida; Fonseca, Irene 10 2007 Thin elastic films: the impact of higher order perturbations. Zbl 1131.49027 Fonseca, Irene; Francfort, Gilles; Leoni, Giovanni 6 2007 Existence and regularity for mixtures of micromagnetic materials. Zbl 1149.74333 Acerbi, Emilio; Fonseca, Irene; Mingione, Giuseppe 11 2006 Weak continuity and lower semicontinuity results for determinants. Zbl 1081.49013 Fonseca, Irene; Leoni, Giovanni; Malý, Jan 22 2005 From Jacobian to Hessian: distributional form and relaxation. Zbl 1101.49011 Fonseca, Irene; Malý, Jan 12 2005 Coupled singular perturbations for phase transitions. Zbl 1090.49001 Fonseca, Irene; Popovici, Cristina 10 2005 On Hessian matrices in the space \(BH\). Zbl 1102.49021 Fonseca, Irene; Leoni, Giovanni; Paroni, Roberto 7 2005 Topological degree, Jacobian determinants and relaxation. Zbl 1177.49066 Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo 6 2005 Scalar minimizers with fractal singular sets. Zbl 1049.49015 Fonseca, Irene; Malý, Jan; Mingione, Giuseppe 79 2004 \(\mathcal A\)-quasiconvexity: weak-star convergence and the gap. Zbl 1064.49016 Fonseca, Irene; Leoni, Giovanni; Müller, Stefan 18 2004 Higher-order quasiconvexity reduces to quasiconvexity. Zbl 1082.49017 Dal Maso, Gianni; Fonseca, Irene; Leoni, Giovanni; Morini, Massimiliano 13 2004 On the total variation of the Jacobian. Zbl 1041.49016 Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo 11 2004 A Young measure approach to a nonlinear membrane model involving the bending moment. Zbl 1084.49012 Bocea, Marian; Fonseca, Irene 4 2004 Relaxation of convex functionals: the gap problem. Zbl 1025.49012 Acerbi, E.; Bouchitté, G.; Fonseca, I. 32 2003 Bending moment in membrane theory. Zbl 1059.74034 Bouchitté, Guy; Fonseca, Irene; Mascarenhas, M. Luísa 17 2003 Multiscale relaxation of convex functionals. Zbl 1040.49018 Fonseca, Irene; Zappale, Elvira 8 2003 On lower semicontinuity in \(BH^p\) and 2-quasiconvexification. Zbl 1040.49017 Fonseca, Irene; Leoni, Giovanni; Paroni, Roberto 4 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 56 2002 An existence result for a nonconvex variational problem via regularity. Zbl 1044.49011 Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo 49 2002 A \(\Gamma\)-convergence result for the two-gradient theory of phase transitions. Zbl 1029.49040 Conti, Sergio; Fonseca, Irene; Leoni, Giovanni 38 2002 \(A\)-\(B\) quasiconvexity and implicit partial differential equations. Zbl 1030.35022 Dacorogna, Bernard; Fonseca, Irene 13 2002 An asymptotic study of the debonding of thin films. Zbl 0999.74079 Bhattacharya, Kaushik; Fonseca, Irene; Francfort, Gilles 10 2002 Equi-integrability results for 3D-2D dimension reduction problems. Zbl 1044.49010 Bocea, Marian; Fonseca, Irene 8 2002 Relaxation of variational problems under trace constraints. Zbl 1013.49008 Bouchitté, Guy; Fonseca, Irene; Mascarenhas, Luísa 6 2002 A note on Meyers’ theorem in \(W^{k,1}\). Zbl 1006.49006 Fonseca, Irene; Leoni, Giovanni; Malý, Jan; Paroni, Roberto 4 2002 Brittle thin films. Zbl 0999.49012 Braides, A.; Fonseca, I. 20 2001 On lower semicontinuity and relaxation. Zbl 1003.49015 Fonseca, Irene; Leoni, Giovanni 18 2001 Oscillations in a dynamical model of phase transitions. Zbl 0982.74052 Brandon, Deborah; Fonseca, Irene; Swart, Pieter 3 2001 On the inadequacy of the scaling of linear elasticity for 3D-2D asymptotics in a nonlinear setting. Zbl 1029.35216 Fonseca, Irene; Francfort, Gilles 3 2001 3D-2D asymptotic analysis for inhomogeneous thin films. Zbl 0987.35020 Braides, A.; Fonseca, I.; Francfort, G. 64 2000 A-quasiconvexity: Relaxation and homogenization. Zbl 0971.35010 Braides, Andrea; Fonseca, Irene; Leoni, Giovanni 55 2000 Second order singular perturbation models for phase transitions. Zbl 0958.49007 Fonseca, Irene; Mantegazza, Carlo 28 2000 A relaxation theorem in the space of functions of bounded deformation. Zbl 0960.49014 Barroso, Ana Cristina; Fonseca, Irene; Toader, Rodica 27 2000 Relaxation results in micromagnetics. Zbl 1072.49010 Fonseca, Irene; Leoni, Giovanni 7 2000 Some remarks on lower semicontinuity. Zbl 0980.49018 Fonseca, Irene; Leoni, Giovanni 7 2000 Absolute minimizers for some ferromagnetic energies. (Minima absolus pour des énergies ferromagnétiques.) Zbl 0965.49015 Dacorogna, Bernard; Fonseca, Irene 5 2000 \(\mathcal A\)-quasiconvexity, lower semicontinuity, and Young measures. Zbl 0940.49014 Fonseca, Irene; Müller, Stefan 151 1999 Manifold constrained variational problems. Zbl 0935.49006 Dacorogna, B.; Fonseca, I.; Malý, J.; Trivisa, K. 19 1999 Structured deformations as energy minimizers in models of fracture and hystersis. Zbl 1001.74566 Choksi, R.; del Piero, G.; Fonseca, I.; Owen, D. 19 1999 On a volume-constrained variational problem. Zbl 0945.49005 Ambrosio, Luigi; Fonseca, Irene; Marcellini, Paolo; Tartar, Luc 10 1999 Bulk and contact energies: Nucleation and relaxation. Zbl 0924.49010 Fonseca, Irene; Leoni, Giovanni 3 1999 Remarks on the determinant in nonlinear elasticity and fracture mechanics. Zbl 0962.49012 Fonseca, Irene; Malý, Jan 3 1999 Analysis of concentration and oscillation effects generated by gradients. Zbl 0920.49009 Fonseca, Irene; Müller, Stefan; Pedregal, Pablo 78 1998 A global method for relaxation. Zbl 0921.49004 Bouchitté, Guy; Fonseca, Irene; Mascarenhas, Luisa 67 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 26 1998 3D-2D asymptotic analysis of an optimal design problem for thin films. Zbl 0917.73052 Fonseca, Irene; Francfort, Gilles 22 1998 Regularity results for anisotropic image segmentation models. Zbl 0899.49018 Fonseca, Irene; Fusco, Nicola 54 1997 Relaxation of multiple integrals below the growth exponent. Zbl 0868.49011 Fonseca, Irene; Malý, Jan 53 1997 Bulk and interfacial energy densities for structured deformations of continua. Zbl 0891.73078 Choksi, Rustum; Fonseca, Irene 29 1997 Relaxation of multiple integral in subcritical Sobolev spaces. Zbl 0915.49011 Fonseca, Irene; Marcellini, Paolo 24 1997 A change of variables formula for mappings in \(\mathbf{BV}\). Zbl 0883.49029 Choksi, Rustum; Fonseca, Irene 3 1997 Regularity results for equilibria in a variational model for fracture. Zbl 0895.73080 Acerbi, Emilio; Fonseca, Irene; Fusco, Nicola 3 1997 Regularity of minimizers for a class of membrane energies. Zbl 1015.49011 Acerbi, Emilio; Fonseca, Irene; Fusco, Nicola 1 1997 Relaxation of bulk and interfacial energies. Zbl 0876.49037 Barroso, Ana Cristina; Bouchitté, Guy; Buttazzo, Giuseppe; Fonseca, Irene 12 1996 ...and 25 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,460 Authors 74 Fonseca, Irene 32 Zappale, Elvira 31 Braides, Andrea 30 Conti, Sergio 28 Kružík, Martin 27 Leoni, Giovanni 27 Mingione, Giuseppe 27 Müller, Stefan 24 Fusco, Nicola 19 Davoli, Elisa 19 Pedregal, Pablo 19 Rindler, Filip 18 Babadjian, Jean-François 17 De Filippis, Cristiana 17 Mandallena, Jean-Philippe 17 Zeppieri, Caterina Ida 16 Anza Hafsa, Omar 16 Kristensen, Jan 16 Malý, Jan 15 Kreisbeck, Carolin 15 Krömer, Stefan 15 Cardoso Matias, José Carlos Pedro 15 Morini, Massimiliano 14 Almi, Stefano 14 Dal Maso, Gianni 14 Garroni, Adriana 14 Katzourakis, Nikolaos I. 14 Velčić, Igor 13 De Philippis, Guido 13 Hencl, Stanislav 13 Leonetti, Francesco 13 Mora-Corral, Carlos 13 Morandotti, Marco 12 Barroso, Ana Cristina 12 Byun, Sun-Sig 12 Cicalese, Marco 12 Cristoferi, Riccardo 12 Ferreira, Rita 12 Focardi, Matteo 12 Friedrich, Manuel 12 Moroşanu, Costică N. 12 Passarelli di Napoli, Antonia 11 Paroni, Roberto 11 Ponsiglione, Marcello 11 Raită, Bogdan 11 Šilhavý, Miroslav 10 Alicandro, Roberto 10 Arroyo-Rabasa, Adolfo 10 Bouchitté, Guy 10 Carozza, Menita 10 Chambolle, Antonin 10 Dacorogna, Bernard 10 Francfort, Gilles A. 10 Laurençot, Philippe 10 Liu, Jianguo 10 Mielke, Alexander 10 Solombrino, Francesco 10 Zorgati, Hamdi 9 Bellido, José Carlos 9 Cupini, Giovanni 9 Del Piero, Gianpietro 9 Hornung, Peter 9 Kohn, Robert Vita 9 Maggi, Francesco 9 Marcellini, Paolo 9 Mascolo, Elvira 9 Oh, Jehan 9 Ortiz, Michael 9 Owen, David Ross 9 Ruf, Matthias 9 Verde, Anna 8 Bach, Annika 8 Barchiesi, Marco 8 Chlebicka, Iwona 8 Colombo, Maria 8 De Cicco, Virginia 8 Dolzmann, Georg 8 Eleuteri, Michela 8 Esposito, Luca 8 Gao, Yuan 8 Henao, Duvan A. 8 Kreutz, Leonard C. 8 Michaille, Gérard 8 Olbermann, Heiner 8 Piovano, Paolo 8 Pucci, Patrizia 8 Santos, Pedro Miguel 8 Serrano, Hélia 8 Stefanelli, Ulisse 8 Sychev, Mikhail A. 8 Yang, Xiaofeng 7 Acerbi, Emilio 7 Bevan, Jonathan J. 7 Bousquet, Pierre 7 Brasco, Lorenzo 7 Crismale, Vito 7 De Luca, Lucia 7 Gmeineder, Franz 7 Gomes, Diogo Luís Aguiar 7 Iurlano, Flaviana ...and 1,360 more Authors all top 5 Cited in 243 Serials 156 Archive for Rational Mechanics and Analysis 147 Calculus of Variations and Partial Differential Equations 85 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 80 Nonlinear Analysis. 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Mathematica 3 Doklady Mathematics ...and 143 more Serials all top 5 Cited in 51 Fields 863 Calculus of variations and optimal control; optimization (49-XX) 745 Partial differential equations (35-XX) 558 Mechanics of deformable solids (74-XX) 127 Functional analysis (46-XX) 124 Real functions (26-XX) 118 Statistical mechanics, structure of matter (82-XX) 89 Numerical analysis (65-XX) 73 Fluid mechanics (76-XX) 72 Operator theory (47-XX) 56 Differential geometry (53-XX) 52 Measure and integration (28-XX) 44 Global analysis, analysis on manifolds (58-XX) 31 Computer science (68-XX) 31 Information and communication theory, circuits (94-XX) 30 Probability theory and stochastic processes (60-XX) 29 Ordinary differential equations (34-XX) 27 Operations research, mathematical programming (90-XX) 25 Optics, electromagnetic theory (78-XX) 24 Functions of a complex variable (30-XX) 22 Classical thermodynamics, heat transfer (80-XX) 20 Convex and discrete geometry (52-XX) 20 Biology and other natural sciences (92-XX) 16 Dynamical systems and ergodic theory (37-XX) 15 Integral equations (45-XX) 13 Potential theory (31-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 12 Mechanics of particles and systems (70-XX) 11 Statistics (62-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Quantum theory (81-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Approximations and expansions (41-XX) 8 Systems theory; control (93-XX) 6 General topology (54-XX) 5 General and overarching topics; collections (00-XX) 5 History and biography (01-XX) 4 Difference and functional equations (39-XX) 4 Algebraic topology (55-XX) 4 Manifolds and cell complexes (57-XX) 3 Geophysics (86-XX) 2 Combinatorics (05-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral transforms, operational calculus (44-XX) 2 Geometry (51-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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