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: 143 Publications since 1987, including 2 Books and 4 Additional arXiv Preprints 2 Contributions as Editor Biographic References: 1 Publication Co-Authors: 77 Co-Authors with 135 Joint Publications 1,837 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 Mascarenhas, Maria-Luisa 6 Müller, Stefan 5 Choksi, Rustum 5 Ferreira, Rita 5 Marcellini, Paolo 4 Acerbi, Emilio 4 Mingione, Giuseppe 4 Paroni, Roberto 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 Venkatraman, Raghavendra 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 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Indiana University Mathematics Journal 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 112 Calculus of variations and optimal control; optimization (49-XX) 66 Mechanics of deformable solids (74-XX) 45 Partial differential equations (35-XX) 15 Real functions (26-XX) 14 Statistical mechanics, structure of matter (82-XX) 6 Functional analysis (46-XX) 6 Information and communication theory, circuits (94-XX) 5 Measure and integration (28-XX) 5 Computer science (68-XX) 3 Differential geometry (53-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) 2 Fluid mechanics (76-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 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 124 Publications have been cited 2,663 times in 1,563 Documents Cited by ▼ Year ▼ Modern methods in the calculus of variations. \(L^p\) spaces. Zbl 1153.49001 Fonseca, Irene; Leoni, Giovanni 275 2007 Degree theory in analysis and applications. Zbl 0852.47030 Fonseca, Irene; Gangbo, Wilfrid 151 1995 \(\mathcal A\)-quasiconvexity, lower semicontinuity, and Young measures. Zbl 0940.49014 Fonseca, Irene; Müller, Stefan 145 1999 A uniqueness proof for the Wulff theorem. Zbl 0752.49019 Fonseca, Irene; Müller, Stefan 99 1991 Quasi-convex integrands and lower semicontinuity in \(L^ 1\). Zbl 0764.49012 Fonseca, Irene; Müller, Stefan 89 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 83 1993 Analysis of concentration and oscillation effects generated by gradients. Zbl 0920.49009 Fonseca, Irene; Müller, Stefan; Pedregal, Pablo 79 1998 The gradient theory of phase transitions for systems with two potential wells. Zbl 0676.49005 Fonseca, Irene; Tartar, Luc 78 1989 Scalar minimizers with fractal singular sets. Zbl 1049.49015 Fonseca, Irene; Malý, Jan; Mingione, Giuseppe 72 2004 A global method for relaxation. Zbl 0921.49004 Bouchitté, Guy; Fonseca, Irene; Mascarenhas, Luisa 60 1998 The Wulff theorem revisited. Zbl 0725.49017 Fonseca, Irene 57 1991 3D-2D asymptotic analysis for inhomogeneous thin films. Zbl 0987.35020 Braides, A.; Fonseca, I.; Francfort, G. 56 2000 Relaxation of multiple integrals below the growth exponent. Zbl 0868.49011 Fonseca, Irene; Malý, Jan 53 1997 A global method for relaxation in \(W^{1,p}\) and in SBV\(_p\). Zbl 1028.49009 Bouchitté, Guy; Fonseca, Irene; Leoni, Giovanni; Mascarenhas, Luísa 53 2002 Regularity results for anisotropic image segmentation models. Zbl 0899.49018 Fonseca, Irene; Fusco, Nicola 51 1997 A-quasiconvexity: Relaxation and homogenization. Zbl 0971.35010 Braides, Andrea; Fonseca, Irene; Leoni, Giovanni 51 2000 An existence result for a nonconvex variational problem via regularity. Zbl 1044.49011 Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo 48 2002 Variational methods for elastic crystals. Zbl 0611.73023 Fonseca, Irene 42 1987 The lower quasiconvex envelope of the stored energy function for an elastic crystal. Zbl 0718.73075 Fonseca, Irene 37 1988 Equilibrium configurations of epitaxially strained crystalline films: Existence and regularity results. Zbl 1126.74029 Fonseca, I.; Fusco, N.; Leoni, G.; Morini, M. 37 2007 A \(\Gamma\)-convergence result for the two-gradient theory of phase transitions. Zbl 1029.49040 Conti, Sergio; Fonseca, Irene; Leoni, Giovanni 35 2002 Anisotropic singular perturbations – the vectorial case. Zbl 0804.49013 Barroso, Ana Cristina; Fonseca, Irene 34 1994 Surfactants in foam stability: a phase-field model. Zbl 1107.76076 Fonseca, Irene; Morini, Massimiliano; Slastikov, Valeriy 31 2007 Relaxation of convex functionals: the gap problem. Zbl 1025.49012 Acerbi, E.; Bouchitté, G.; Fonseca, I. 31 2003 Bulk and interfacial energy densities for structured deformations of continua. Zbl 0891.73078 Choksi, Rustum; Fonseca, Irene 28 1997 Second order singular perturbation models for phase transitions. Zbl 0958.49007 Fonseca, Irene; Mantegazza, Carlo 27 2000 Local invertibility of Sobolev functions. Zbl 0839.30018 Fonseca, I.; Gangbo, W. 27 1995 A relaxation theorem in the space of functions of bounded deformation. Zbl 0960.49014 Barroso, Ana Cristina; Fonseca, Irene; Toader, Rodica 26 2000 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 23 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 21 2005 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 3D-2D asymptotic analysis of an optimal design problem for thin films. Zbl 0917.73052 Fonseca, Irene; Francfort, Gilles 19 1998 A higher order model for image restoration: the one-dimensional case. Zbl 1193.49012 dal Maso, G.; Fonseca, I.; Leoni, G.; Morini, M. 19 2009 Manifold constrained variational problems. Zbl 0935.49006 Dacorogna, B.; Fonseca, I.; Malý, J.; Trivisa, K. 18 1999 \(\mathcal A\)-quasiconvexity: weak-star convergence and the gap. Zbl 1064.49016 Fonseca, Irene; Leoni, Giovanni; Müller, Stefan 18 2004 Dynamics for systems of screw dislocations. Zbl 1322.34059 Blass, T.; Fonseca, I.; Leoni, G.; Morandotti, M. 18 2015 Brittle thin films. Zbl 0999.49012 Braides, A.; Fonseca, I. 17 2001 Bending moment in membrane theory. Zbl 1059.74034 Bouchitté, Guy; Fonseca, Irene; Mascarenhas, M. Luísa 17 2003 Equilibrium configurations of defective crystals. Zbl 0785.73007 Fonseca, Irene; Parry, Gareth 17 1992 Motion of elastic thin films by anisotropic surface diffusion with curvature regularization. Zbl 1270.74127 Fonseca, I.; Fusco, N.; Leoni, G.; Morini, M. 17 2012 Oscillations and concentrations generated by \({\mathcal A}\)-free mappings and weak lower semicontinuity of integral functionals. Zbl 1217.49016 Fonseca, Irene; Kružík, Martin 16 2010 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. 16 1995 On lower semicontinuity and relaxation. Zbl 1003.49015 Fonseca, Irene; Leoni, Giovanni 16 2001 Energy functionals depending on elastic strain and chemical composition. Zbl 0800.49030 Fonseca, Irene; Kinderlehrer, David; Pedregal, Pablo 16 1994 Material voids in elastic solids with anisotropic surface energies. Zbl 1285.74003 Fonseca, Irene; Fusco, Nicola; Leoni, Giovanni; Millot, Vincent 15 2011 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 Interfacial energy and the Maxwell rule. Zbl 0721.73005 Fonseca, Irene 14 1989 Relaxation of multiple integrals in the space \(BV(\Omega{},R^ p)\). Zbl 0794.49012 Fonseca, Irene; Rybka, Piotr 14 1992 Multiple integrals under differential constraints: two-scale convergence and homogenization. Zbl 1198.49011 Fonseca, Irene; Krömer, Stefan 14 2010 Phase transitions of elastic solid materials. Zbl 0751.73005 Fonseca, Irene 13 1989 \(A\)-\(B\) quasiconvexity and implicit partial differential equations. Zbl 1030.35022 Dacorogna, Bernard; Fonseca, Irene 13 2002 Singular perturbation models in phase transitions for second-order materials. Zbl 1255.49022 Chermisi, M.; Dal Maso, G.; Fonseca, I.; Leoni, G. 13 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 Existence and regularity for mixtures of micromagnetic materials. Zbl 1149.74333 Acerbi, Emilio; Fonseca, Irene; Mingione, Giuseppe 12 2006 Higher-order quasiconvexity reduces to quasiconvexity. Zbl 1082.49017 Dal Maso, Gianni; Fonseca, Irene; Leoni, Giovanni; Morini, Massimiliano 12 2004 From Jacobian to Hessian: distributional form and relaxation. Zbl 1101.49011 Fonseca, Irene; Malý, Jan 12 2005 Relaxation of bulk and interfacial energies. Zbl 0876.49037 Barroso, Ana Cristina; Bouchitté, Guy; Buttazzo, Giuseppe; Fonseca, Irene 11 1996 A homogenization result in the gradient theory of phase transitions. Zbl 1425.74389 Cristoferi, Riccardo; Fonseca, Irene; Hagerty, Adrian; Popovici, Cristina 11 2019 On a volume-constrained variational problem. Zbl 0945.49005 Ambrosio, Luigi; Fonseca, Irene; Marcellini, Paolo; Tartar, Luc 10 1999 On the total variation of the Jacobian. Zbl 1041.49016 Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo 10 2004 Motion of three-dimensional elastic films by anisotropic surface diffusion with curvature regularization. Zbl 1331.35162 Fonseca, Irene; Fusco, Nicola; Leoni, Giovanni; Morini, Massimiliano 10 2015 The limit behavior of a family of variational multiscale problems. Zbl 1114.35008 Baía, Margarida; Fonseca, Irene 9 2007 A model for dislocations in epitaxially strained elastic films. Zbl 1387.49005 Fonseca, I.; Fusco, N.; Leoni, Giovanni; Morini, Massimiliano 9 2018 An asymptotic study of the debonding of thin films. Zbl 0999.74079 Bhattacharya, Kaushik; Fonseca, Irene; Francfort, Gilles 9 2002 Coupled singular perturbations for phase transitions. Zbl 1090.49001 Fonseca, Irene; Popovici, Cristina 9 2005 Equi-integrability results for 3D-2D dimension reduction problems. Zbl 1044.49010 Bocea, Marian; Fonseca, Irene 9 2002 The Cosserat vector in membrane theory: a variational approach. Zbl 1179.35015 Bouchitté, Guy; Fonseca, Irene; Mascarenhas, M. Luísa 8 2009 Relaxation results in micromagnetics. Zbl 1072.49010 Fonseca, Irene; Leoni, Giovanni 7 2000 Multiscale relaxation of convex functionals. Zbl 1040.49018 Fonseca, Irene; Zappale, Elvira 7 2003 Domain formation in membranes near the onset of instability. Zbl 1353.49013 Fonseca, Irene; Hayrapetyan, Gurgen; Leoni, Giovanni; Zwicknagl, Barbara 7 2016 Nonlocal character of the reduced theory of thin films with higher order perturbations. Zbl 1195.49019 Dal Maso, Gianni; Fonseca, Irene; Leoni, Giovanni 7 2010 Regularity results for an optimal design problem with a volume constraint. Zbl 1286.49041 Carozza, Menita; Fonseca, Irene; Di Napoli, Antonia Passarelli 7 2014 Topological degree, Jacobian determinants and relaxation. Zbl 1177.49066 Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo 6 2005 Thin elastic films: the impact of higher order perturbations. Zbl 1131.49027 Fonseca, Irene; Francfort, Gilles; Leoni, Giovanni 6 2007 Some remarks on lower semicontinuity. Zbl 0980.49018 Fonseca, Irene; Leoni, Giovanni 6 2000 Relaxation of variational problems under trace constraints. Zbl 1013.49008 Bouchitté, Guy; Fonseca, Irene; Mascarenhas, Luísa 6 2002 On Hessian matrices in the space \(BH\). Zbl 1102.49021 Fonseca, Irene; Leoni, Giovanni; Paroni, Roberto 6 2005 Relaxation in \(BV \times L^ \infty\) of functionals depending on strain and composition. Zbl 0796.49042 Fonseca, Irene; Kinderlehrer, David; Pedregal, Pablo 6 1993 A minimization problem involving variation of the domain. Zbl 0772.49005 Dacorogna, Bernard; Fonseca, Irene 6 1992 Shapes of epitaxially grown quantum dots. Zbl 1320.82047 Fonseca, Irene; Pratelli, Aldo; Zwicknagl, Barbara 6 2014 Homogenization of integral energies under periodically oscillating differential constraints. Zbl 1347.49017 Davoli, Elisa; Fonseca, Irene 6 2016 Regularity results for an optimal design problem with quasiconvex bulk energies. Zbl 1392.49037 Carozza, Menita; Fonseca, Irene; Passarelli di Napoli, Antonia 5 2018 Absolute minimizers for some ferromagnetic energies. (Minima absolus pour des énergies ferromagnétiques.) Zbl 0965.49015 Dacorogna, Bernard; Fonseca, Irene 5 2000 Second order asymptotic development for the anisotropic Cahn-Hilliard functional. Zbl 1329.49020 Dal Maso, Gianni; Fonseca, Irene; Leoni, Giovanni 5 2015 Erratum to: “A homogenization result in the gradient theory of phase transitions”. Zbl 1443.74250 Cristoferi, Riccardo; Fonseca, Irene; Hagerty, Adrian; Popovici, Cristina 5 2020 Exact reconstruction of damaged color images using a total variation model. Zbl 1198.49045 Fonseca, I.; Leoni, G.; Maggi, F.; Morini, M. 5 2010 Lower semicontinuity problems in Sobolev spaces with respect to a measure. Zbl 0844.49012 Ambrosio, L.; Buttazzo, G.; Fonseca, I. 4 1996 The displacement problem for elastic crystals. Zbl 0691.73016 Fonseca, I.; Tartar, L. 4 1989 A note on Meyers’ theorem in \(W^{k,1}\). Zbl 1006.49006 Fonseca, Irene; Leoni, Giovanni; Malý, Jan; Paroni, Roberto 4 2002 A Young measure approach to a nonlinear membrane model involving the bending moment. Zbl 1084.49012 Bocea, Marian; Fonseca, Irene 4 2004 Characterization of the multiscale limit associated with bounded sequences in BV. Zbl 1254.28009 Ferreira, Rita; Fonseca, Irene 4 2012 Periodic homogenization of integral energies under space-dependent differential constraints. Zbl 1354.49024 Davoli, Elisa; Fonseca, Irene 4 2016 Asymptotic analysis of second order nonlocal Cahn-Hilliard-type functionals. Zbl 1383.49016 Dal Maso, Gianni; Fonseca, Irene; Leoni, Giovanni 4 2018 A few remarks on variational models for denoising. Zbl 1304.49073 Choksi, Rustum; Fonseca, Irene; Zwicknagl, Barbara 4 2014 On lower semicontinuity in \(BH^p\) and 2-quasiconvexification. Zbl 1040.49017 Fonseca, Irene; Leoni, Giovanni; Paroni, Roberto 4 2003 On the inadequacy of the scaling of linear elasticity for 3D-2D asymptotics in a nonlinear setting. Zbl 1029.35216 Fonseca, Irene; Francfort, Gilles 4 2001 Reiterated homogenization in \(BV\) via multiscale convergence. Zbl 1244.49023 Ferreira, Rita; Fonseca, Irene 3 2012 Remarks on the determinant in nonlinear elasticity and fracture mechanics. Zbl 0962.49012 Fonseca, Irene; Malý, Jan 3 1999 Adaptive image processing: first order PDE constraint regularizers and a bilevel training scheme. Zbl 1511.94010 Davoli, Elisa; Fonseca, Irene; Liu, Pan 3 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 On the motion of curved dislocations in three dimensions: simplified linearized elasticity. Zbl 1468.35198 Fonseca, Irene; Ginster, Janusz; Wojtowytsch, Stephan 3 2021 Homogenization of quasi-crystalline functionals via two-scale-cut-and-project convergence. Zbl 1460.49010 Ferreira, Rita; Fonseca, Irene; Venkatraman, Raghavendra 2 2021 Erratum to: “A homogenization result in the gradient theory of phase transitions”. Zbl 1443.74250 Cristoferi, Riccardo; Fonseca, Irene; Hagerty, Adrian; Popovici, Cristina 5 2020 A homogenization result in the gradient theory of phase transitions. Zbl 1425.74389 Cristoferi, Riccardo; Fonseca, Irene; Hagerty, Adrian; Popovici, Cristina 11 2019 Second-order structured deformations in the space of functions of bounded Hessian. Zbl 1437.49028 Fonseca, Irene; Hagerty, Adrian; Paroni, Roberto 1 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 1 2018 The weighted Ambrosio-Tortorelli approximation scheme. Zbl 1381.49050 Fonseca, Irene; Liu, Pan 3 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 Equilibria and dislocations in epitaxial growth. Zbl 1364.82041 Fonseca, I.; Leoni, G.; Morini, M. 2 2017 Domain formation in membranes near the onset of instability. Zbl 1353.49013 Fonseca, Irene; Hayrapetyan, Gurgen; Leoni, Giovanni; Zwicknagl, Barbara 7 2016 Homogenization of integral energies under periodically oscillating differential constraints. Zbl 1347.49017 Davoli, Elisa; Fonseca, Irene 6 2016 Periodic homogenization of integral energies under space-dependent differential constraints. Zbl 1354.49024 Davoli, Elisa; Fonseca, Irene 4 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 10 2015 Second order asymptotic development for the anisotropic Cahn-Hilliard functional. Zbl 1329.49020 Dal Maso, Gianni; Fonseca, Irene; Leoni, Giovanni 5 2015 A note on two scale compactness for \(p = 1\). Zbl 1347.35026 Bufford, Laura; Fonseca, Irene 2 2015 Multiscale homogenization in Kirchhoff’s nonlinear plate theory. Zbl 1329.35044 Bufford, Laura; Davoli, Elisa; Fonseca, Irene 1 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 Regularity results for an optimal design problem with a volume constraint. Zbl 1286.49041 Carozza, Menita; Fonseca, Irene; Di Napoli, Antonia Passarelli 7 2014 Shapes of epitaxially grown quantum dots. Zbl 1320.82047 Fonseca, Irene; Pratelli, Aldo; Zwicknagl, Barbara 6 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. 17 2012 Characterization of the multiscale limit associated with bounded sequences in BV. Zbl 1254.28009 Ferreira, Rita; Fonseca, Irene 4 2012 Reiterated homogenization in \(BV\) via multiscale convergence. Zbl 1244.49023 Ferreira, Rita; Fonseca, Irene 3 2012 Material voids in elastic solids with anisotropic surface energies. Zbl 1285.74003 Fonseca, Irene; Fusco, Nicola; Leoni, Giovanni; Millot, Vincent 15 2011 Singular perturbation models in phase transitions for second-order materials. Zbl 1255.49022 Chermisi, M.; Dal Maso, G.; Fonseca, I.; Leoni, G. 13 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 16 2010 Multiple integrals under differential constraints: two-scale convergence and homogenization. Zbl 1198.49011 Fonseca, Irene; Krömer, Stefan 14 2010 Nonlocal character of the reduced theory of thin films with higher order perturbations. Zbl 1195.49019 Dal Maso, Gianni; Fonseca, Irene; Leoni, Giovanni 7 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. 19 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 275 2007 Equilibrium configurations of epitaxially strained crystalline films: Existence and regularity results. Zbl 1126.74029 Fonseca, I.; Fusco, N.; Leoni, G.; Morini, M. 37 2007 Surfactants in foam stability: a phase-field model. Zbl 1107.76076 Fonseca, Irene; Morini, Massimiliano; Slastikov, Valeriy 31 2007 The limit behavior of a family of variational multiscale problems. Zbl 1114.35008 Baía, Margarida; Fonseca, Irene 9 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 12 2006 Weak continuity and lower semicontinuity results for determinants. Zbl 1081.49013 Fonseca, Irene; Leoni, Giovanni; Malý, Jan 21 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 9 2005 Topological degree, Jacobian determinants and relaxation. Zbl 1177.49066 Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo 6 2005 On Hessian matrices in the space \(BH\). Zbl 1102.49021 Fonseca, Irene; Leoni, Giovanni; Paroni, Roberto 6 2005 Scalar minimizers with fractal singular sets. Zbl 1049.49015 Fonseca, Irene; Malý, Jan; Mingione, Giuseppe 72 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 12 2004 On the total variation of the Jacobian. Zbl 1041.49016 Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo 10 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. 31 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 7 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 53 2002 An existence result for a nonconvex variational problem via regularity. Zbl 1044.49011 Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo 48 2002 A \(\Gamma\)-convergence result for the two-gradient theory of phase transitions. Zbl 1029.49040 Conti, Sergio; Fonseca, Irene; Leoni, Giovanni 35 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 9 2002 Equi-integrability results for 3D-2D dimension reduction problems. Zbl 1044.49010 Bocea, Marian; Fonseca, Irene 9 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. 17 2001 On lower semicontinuity and relaxation. Zbl 1003.49015 Fonseca, Irene; Leoni, Giovanni 16 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 4 2001 Oscillations in a dynamical model of phase transitions. Zbl 0982.74052 Brandon, Deborah; Fonseca, Irene; Swart, Pieter 3 2001 3D-2D asymptotic analysis for inhomogeneous thin films. Zbl 0987.35020 Braides, A.; Fonseca, I.; Francfort, G. 56 2000 A-quasiconvexity: Relaxation and homogenization. Zbl 0971.35010 Braides, Andrea; Fonseca, Irene; Leoni, Giovanni 51 2000 Second order singular perturbation models for phase transitions. Zbl 0958.49007 Fonseca, Irene; Mantegazza, Carlo 27 2000 A relaxation theorem in the space of functions of bounded deformation. Zbl 0960.49014 Barroso, Ana Cristina; Fonseca, Irene; Toader, Rodica 26 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 6 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 145 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 Manifold constrained variational problems. Zbl 0935.49006 Dacorogna, B.; Fonseca, I.; Malý, J.; Trivisa, K. 18 1999 On a volume-constrained variational problem. Zbl 0945.49005 Ambrosio, Luigi; Fonseca, Irene; Marcellini, Paolo; Tartar, Luc 10 1999 Remarks on the determinant in nonlinear elasticity and fracture mechanics. Zbl 0962.49012 Fonseca, Irene; Malý, Jan 3 1999 Bulk and contact energies: Nucleation and relaxation. Zbl 0924.49010 Fonseca, Irene; Leoni, Giovanni 3 1999 Analysis of concentration and oscillation effects generated by gradients. Zbl 0920.49009 Fonseca, Irene; Müller, Stefan; Pedregal, Pablo 79 1998 A global method for relaxation. Zbl 0921.49004 Bouchitté, Guy; Fonseca, Irene; Mascarenhas, Luisa 60 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 19 1998 Relaxation of multiple integrals below the growth exponent. Zbl 0868.49011 Fonseca, Irene; Malý, Jan 53 1997 Regularity results for anisotropic image segmentation models. Zbl 0899.49018 Fonseca, Irene; Fusco, Nicola 51 1997 Bulk and interfacial energy densities for structured deformations of continua. Zbl 0891.73078 Choksi, Rustum; Fonseca, Irene 28 1997 Relaxation of multiple integral in subcritical Sobolev spaces. Zbl 0915.49011 Fonseca, Irene; Marcellini, Paolo 23 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 11 1996 Lower semicontinuity problems in Sobolev spaces with respect to a measure. Zbl 0844.49012 Ambrosio, L.; Buttazzo, G.; Fonseca, I. 4 1996 ...and 24 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,392 Authors 72 Fonseca, Irene 30 Braides, Andrea 28 Conti, Sergio 28 Zappale, Elvira 27 Leoni, Giovanni 27 Mingione, Giuseppe 27 Müller, Stefan 26 Kružík, Martin 24 Fusco, Nicola 18 Pedregal, Pablo 17 Babadjian, Jean-François 17 Davoli, Elisa 17 De Filippis, Cristiana 17 Rindler, Filip 16 Kristensen, Jan 16 Mandallena, Jean-Philippe 16 Zeppieri, Caterina Ida 15 Anza Hafsa, Omar 15 Krömer, Stefan 14 Almi, Stefano 14 Garroni, Adriana 14 Malý, Jan 14 Cardoso Matias, José Carlos Pedro 14 Morini, Massimiliano 13 Dal Maso, Gianni 13 Hencl, Stanislav 13 Katzourakis, Nikolaos I. 13 Kreisbeck, Carolin 13 Morandotti, Marco 12 Cicalese, Marco 12 Cristoferi, Riccardo 12 Leonetti, Francesco 12 Passarelli di Napoli, Antonia 12 Velčić, Igor 11 Alicandro, Roberto 11 Barroso, Ana Cristina 11 De Philippis, Guido 11 Ferreira, Rita 11 Focardi, Matteo 11 Friedrich, Manuel 11 Mora-Corral, Carlos 11 Moroşanu, Costică N. 11 Ponsiglione, Marcello 10 Bouchitté, Guy 10 Carozza, Menita 10 Chambolle, Antonin 10 Dacorogna, Bernard 10 Francfort, Gilles A. 10 Liu, Jianguo 10 Mielke, Alexander 10 Ortiz, Michael 10 Paroni, Roberto 10 Raită, Bogdan 10 Šilhavý, Miroslav 10 Solombrino, Francesco 10 Zorgati, Hamdi 9 Byun, Sun-Sig 9 De Cicco, Virginia 9 Del Piero, Gianpietro 9 Hornung, Peter 9 Kohn, Robert Vita 9 Owen, David Ross 9 Ruf, Matthias 9 Verde, Anna 8 Arroyo-Rabasa, Adolfo 8 Barchiesi, Marco 8 Bellido, José Carlos 8 Colombo, Maria 8 Cupini, Giovanni 8 Esposito, Luca 8 Gao, Yuan 8 Laurençot, Philippe 8 Marcellini, Paolo 8 Mascolo, Elvira 8 Michaille, Gérard 8 Olbermann, Heiner 8 Pucci, Patrizia 8 Santos, Pedro Miguel 8 Stefanelli, Ulisse 8 Sychev, Mikhail A. 7 Acerbi, Emilio 7 Ansini, Nadia 7 Bach, Annika 7 Chlebicka, Iwona 7 Crismale, Vito 7 De Luca, Lucia 7 Dolzmann, Georg 7 Eleuteri, Michela 7 Gmeineder, Franz 7 Gomes, Diogo Luís Aguiar 7 Henao, Duvan A. 7 Koch, Lukas 7 Kreutz, Leonard C. 7 Maggi, Francesco 7 Oh, Jehan 7 Piovano, Paolo 7 Schmidt, Bernd 7 Serrano, Hélia 7 Sternberg, Peter J. 7 Thomas, Marita ...and 1,292 more Authors all top 5 Cited in 231 Serials 153 Archive for Rational Mechanics and Analysis 140 Calculus of Variations and Partial Differential Equations 82 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 76 Nonlinear Analysis. 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Solids 3 Advanced Nonlinear Studies ...and 131 more Serials all top 5 Cited in 51 Fields 815 Calculus of variations and optimal control; optimization (49-XX) 698 Partial differential equations (35-XX) 529 Mechanics of deformable solids (74-XX) 117 Functional analysis (46-XX) 117 Statistical mechanics, structure of matter (82-XX) 114 Real functions (26-XX) 81 Numerical analysis (65-XX) 68 Fluid mechanics (76-XX) 67 Operator theory (47-XX) 53 Differential geometry (53-XX) 48 Measure and integration (28-XX) 43 Global analysis, analysis on manifolds (58-XX) 31 Probability theory and stochastic processes (60-XX) 30 Information and communication theory, circuits (94-XX) 27 Computer science (68-XX) 26 Ordinary differential equations (34-XX) 25 Optics, electromagnetic theory (78-XX) 23 Operations research, mathematical programming (90-XX) 22 Classical thermodynamics, heat transfer (80-XX) 21 Functions of a complex variable (30-XX) 21 Convex and discrete geometry (52-XX) 17 Biology and other natural sciences (92-XX) 16 Dynamical systems and ergodic theory (37-XX) 13 Potential theory (31-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 12 Integral equations (45-XX) 12 Mechanics of particles and systems (70-XX) 10 Statistics (62-XX) 9 Quantum theory (81-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Approximations and expansions (41-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 General topology (54-XX) 6 Systems theory; control (93-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) 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) 2 Geophysics (86-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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