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Author ID: fonseca.irene Recent zbMATH articles by "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

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

Publications by Year

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 1153.49001
Fonseca, Irene; Leoni, Giovanni
213
2007
Degree theory in analysis and applications. Zbl 0852.47030
Fonseca, Irene; Gangbo, Wilfrid
123
1995
\(\mathcal A\)-quasiconvexity, lower semicontinuity, and Young measures. Zbl 0940.49014
Fonseca, Irene; Müller, Stefan
109
1999
A uniqueness proof for the Wulff theorem. Zbl 0752.49019
Fonseca, Irene; Müller, Stefan
79
1991
Quasi-convex integrands and lower semicontinuity in \(L^ 1\). Zbl 0764.49012
Fonseca, Irene; Müller, Stefan
71
1992
Analysis of concentration and oscillation effects generated by gradients. Zbl 0920.49009
Fonseca, 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 0788.49039
Fonseca, Irene; Müller, Stefan
68
1993
The gradient theory of phase transitions for systems with two potential wells. Zbl 0676.49005
Fonseca, Irene; Tartar, Luc
67
1989
Scalar minimizers with fractal singular sets. Zbl 1049.49015
Fonseca, Irene; Malý, Jan; Mingione, Giuseppe
52
2004
3D-2D asymptotic analysis for inhomogeneous thin films. Zbl 0987.35020
Braides, A.; Fonseca, I.; Francfort, G.
50
2000
Regularity results for anisotropic image segmentation models. Zbl 0899.49018
Fonseca, Irene; Fusco, Nicola
48
1997
A global method for relaxation. Zbl 0921.49004
Bouchitté, Guy; Fonseca, Irene; Mascarenhas, Luisa
47
1998
The Wulff theorem revisited. Zbl 0725.49017
Fonseca, Irene
45
1991
A-quasiconvexity: Relaxation and homogenization. Zbl 0971.35010
Braides, Andrea; Fonseca, Irene; Leoni, Giovanni
44
2000
Relaxation of multiple integrals below the growth exponent. Zbl 0868.49011
Fonseca, Irene; Malý, Jan
42
1997
An existence result for a nonconvex variational problem via regularity. Zbl 1044.49011
Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo
41
2002
Variational methods for elastic crystals. Zbl 0611.73023
Fonseca, Irene
40
1987
The lower quasiconvex envelope of the stored energy function for an elastic crystal. Zbl 0718.73075
Fonseca, Irene
37
1988
A global method for relaxation in \(W^{1,p}\) and in SBV\(_p\). Zbl 1028.49009
Bouchitté, Guy; Fonseca, Irene; Leoni, Giovanni; Mascarenhas, Luísa
35
2002
A \(\Gamma\)-convergence result for the two-gradient theory of phase transitions. Zbl 1029.49040
Conti, Sergio; Fonseca, Irene; Leoni, Giovanni
32
2002
Equilibrium configurations of epitaxially strained crystalline films: Existence and regularity results. Zbl 1126.74029
Fonseca, I.; Fusco, N.; Leoni, G.; Morini, M.
29
2007
Anisotropic singular perturbations – the vectorial case. Zbl 0804.49013
Barroso, Ana Cristina; Fonseca, Irene
28
1994
Bulk and interfacial energy densities for structured deformations of continua. Zbl 0891.73078
Choksi, Rustum; Fonseca, Irene
25
1997
Second order singular perturbation models for phase transitions. Zbl 0958.49007
Fonseca, Irene; Mantegazza, Carlo
24
2000
Lower semicontinuity of surface energies. Zbl 0757.49013
Fonseca, Irene
23
1992
Surfactants in foam stability: a phase-field model. Zbl 1107.76076
Fonseca, Irene; Morini, Massimiliano; Slastikov, Valeriy
23
2007
Relaxation of convex functionals: the gap problem. Zbl 1025.49012
Acerbi, E.; Bouchitté, G.; Fonseca, I.
23
2003
A relaxation theorem in the space of functions of bounded deformation. Zbl 0960.49014
Barroso, Ana Cristina; Fonseca, Irene; Toader, Rodica
21
2000
Relaxation of multiple integral in subcritical Sobolev spaces. Zbl 0915.49011
Fonseca, Irene; Marcellini, Paolo
21
1997
The effective bulk energy of the relaxed energy of multiple integrals below the growth exponent. Zbl 0907.49008
Bouchitté, Guy; Fonseca, Irene; Malý, Jan
20
1998
Local invertibility of Sobolev functions. Zbl 0839.30018
Fonseca, I.; Gangbo, W.
18
1995
Structured deformations as energy minimizers in models of fracture and hystersis. Zbl 1001.74566
Choksi, R.; del Piero, G.; Fonseca, I.; Owen, D.
18
1999
3D-2D asymptotic analysis of an optimal design problem for thin films. Zbl 0917.73052
Fonseca, Irene; Francfort, Gilles
18
1998
Weak continuity and lower semicontinuity results for determinants. Zbl 1081.49013
Fonseca, Irene; Leoni, Giovanni; Malý, Jan
18
2005
Equilibrium configurations of defective crystals. Zbl 0785.73007
Fonseca, Irene; Parry, Gareth
17
1992
Dynamics for systems of screw dislocations. Zbl 1322.34059
Blass, T.; Fonseca, I.; Leoni, G.; Morandotti, M.
17
2015
Manifold constrained variational problems. Zbl 0935.49006
Dacorogna, B.; Fonseca, I.; Malý, J.; Trivisa, K.
16
1999
Bending moment in membrane theory. Zbl 1059.74034
Bouchitté, 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 0847.73077
Fonseca, Irene; Francfort, Gilles A.
16
1995
A higher order model for image restoration: the one-dimensional case. Zbl 1193.49012
dal Maso, G.; Fonseca, I.; Leoni, G.; Morini, M.
16
2009
On lower semicontinuity and relaxation. Zbl 1003.49015
Fonseca, Irene; Leoni, Giovanni
15
2001
Energy functionals depending on elastic strain and chemical composition. Zbl 0800.49030
Fonseca, Irene; Kinderlehrer, David; Pedregal, Pablo
14
1994
Relaxation of multiple integrals in the space \(BV(\Omega{},R^ p)\). Zbl 0794.49012
Fonseca, Irene; Rybka, Piotr
14
1992
Oscillations and concentrations generated by \({\mathcal A}\)-free mappings and weak lower semicontinuity of integral functionals. Zbl 1217.49016
Fonseca, Irene; Kružík, Martin
14
2010
Phase transitions of elastic solid materials. Zbl 0751.73005
Fonseca, Irene
13
1989
\(\mathcal A\)-quasiconvexity: weak-star convergence and the gap. Zbl 1064.49016
Fonseca, Irene; Leoni, Giovanni; Müller, Stefan
13
2004
Interfacial energy and the Maxwell rule. Zbl 0721.73005
Fonseca, Irene
13
1989
Motion of elastic thin films by anisotropic surface diffusion with curvature regularization. Zbl 1270.74127
Fonseca, I.; Fusco, N.; Leoni, G.; Morini, M.
13
2012
Analytical validation of a continuum model for epitaxial growth with elasticity on vicinal surfaces. Zbl 1294.35160
Dal Maso, G.; Fonseca, I.; Leoni, G.
13
2014
Multiple integrals under differential constraints: two-scale convergence and homogenization. Zbl 1198.49011
Fonseca, Irene; Krömer, Stefan
12
2010
\(A\)-\(B\) quasiconvexity and implicit partial differential equations. Zbl 1030.35022
Dacorogna, Bernard; Fonseca, Irene
12
2002
Brittle thin films. Zbl 0999.49012
Braides, A.; Fonseca, I.
12
2001
Material voids in elastic solids with anisotropic surface energies. Zbl 1285.74003
Fonseca, Irene; Fusco, Nicola; Leoni, Giovanni; Millot, Vincent
12
2011
From Jacobian to Hessian: distributional form and relaxation. Zbl 1101.49011
Fonseca, Irene; Malý, Jan
12
2005
Regularity in time for weak solutions of a continuum model for epitaxial growth with elasticity on vicinal surfaces. Zbl 1331.35172
Fonseca, Irene; Leoni, Giovanni; Lu, Xin Yang
12
2015
Higher-order quasiconvexity reduces to quasiconvexity. Zbl 1082.49017
Dal Maso, Gianni; Fonseca, Irene; Leoni, Giovanni; Morini, Massimiliano
10
2004
Singular perturbation models in phase transitions for second-order materials. Zbl 1255.49022
Chermisi, M.; Dal Maso, G.; Fonseca, I.; Leoni, G.
10
2011
On a volume-constrained variational problem. Zbl 0945.49005
Ambrosio, Luigi; Fonseca, Irene; Marcellini, Paolo; Tartar, Luc
9
1999
The limit behavior of a family of variational multiscale problems. Zbl 1114.35008
Baía, Margarida; Fonseca, Irene
9
2007
Motion of three-dimensional elastic films by anisotropic surface diffusion with curvature regularization. Zbl 1331.35162
Fonseca, Irene; Fusco, Nicola; Leoni, Giovanni; Morini, Massimiliano
9
2015
Equi-integrability results for 3D-2D dimension reduction problems. Zbl 1044.49010
Bocea, Marian; Fonseca, Irene
9
2002
Relaxation of bulk and interfacial energies. Zbl 0876.49037
Barroso, Ana Cristina; Bouchitté, Guy; Buttazzo, Giuseppe; Fonseca, Irene
8
1996
An asymptotic study of the debonding of thin films. Zbl 0999.74079
Bhattacharya, Kaushik; Fonseca, Irene; Francfort, Gilles
8
2002
On the total variation of the Jacobian. Zbl 1041.49016
Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo
8
2004
Existence and regularity for mixtures of micromagnetic materials. Zbl 1149.74333
Acerbi, Emilio; Fonseca, Irene; Mingione, Giuseppe
8
2006
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
A model for dislocations in epitaxially strained elastic films. Zbl 1387.49005
Fonseca, I.; Fusco, N.; Leoni, Giovanni; Morini, Massimiliano
7
2018
A minimization problem involving variation of the domain. Zbl 0772.49005
Dacorogna, Bernard; Fonseca, Irene
6
1992
Some remarks on lower semicontinuity. Zbl 0980.49018
Fonseca, Irene; Leoni, Giovanni
6
2000
Nonlocal character of the reduced theory of thin films with higher order perturbations. Zbl 1195.49019
Dal Maso, Gianni; Fonseca, Irene; Leoni, Giovanni
6
2010
Topological degree, Jacobian determinants and relaxation. Zbl 1177.49066
Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo
6
2005
Coupled singular perturbations for phase transitions. Zbl 1090.49001
Fonseca, Irene; Popovici, Cristina
6
2005
The Cosserat vector in membrane theory: a variational approach. Zbl 1179.35015
Bouchitté, Guy; Fonseca, Irene; Mascarenhas, M. Luísa
6
2009
Thin elastic films: the impact of higher order perturbations. Zbl 1131.49027
Fonseca, Irene; Francfort, Gilles; Leoni, Giovanni
6
2007
Domain formation in membranes near the onset of instability. Zbl 1353.49013
Fonseca, Irene; Hayrapetyan, Gurgen; Leoni, Giovanni; Zwicknagl, Barbara
5
2016
Second order asymptotic development for the anisotropic Cahn-Hilliard functional. Zbl 1329.49020
Dal Maso, Gianni; Fonseca, Irene; Leoni, Giovanni
5
2015
Absolute minimizers for some ferromagnetic energies. (Minima absolus pour des énergies ferromagnétiques.) Zbl 0965.49015
Dacorogna, Bernard; Fonseca, Irene
5
2000
Exact reconstruction of damaged color images using a total variation model. Zbl 1198.49045
Fonseca, I.; Leoni, G.; Maggi, F.; Morini, M.
5
2010
On Hessian matrices in the space \(BH\). Zbl 1102.49021
Fonseca, Irene; Leoni, Giovanni; Paroni, Roberto
5
2005
Relaxation of variational problems under trace constraints. Zbl 1013.49008
Bouchitté, Guy; Fonseca, Irene; Mascarenhas, Luísa
5
2002
Homogenization of integral energies under periodically oscillating differential constraints. Zbl 1347.49017
Davoli, Elisa; Fonseca, Irene
5
2016
Regularity results for an optimal design problem with a volume constraint. Zbl 1286.49041
Carozza, Menita; Fonseca, Irene; Di Napoli, Antonia Passarelli
5
2014
A few remarks on variational models for denoising. Zbl 1304.49073
Choksi, Rustum; Fonseca, Irene; Zwicknagl, Barbara
4
2014
Relaxation in \(BV \times L^ \infty\) of functionals depending on strain and composition. Zbl 0796.49042
Fonseca, Irene; Kinderlehrer, David; Pedregal, Pablo
4
1993
Lower semicontinuity problems in Sobolev spaces with respect to a measure. Zbl 0844.49012
Ambrosio, 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 1029.35216
Fonseca, Irene; Francfort, Gilles
4
2001
The displacement problem for elastic crystals. Zbl 0691.73016
Fonseca, I.; Tartar, L.
4
1989
Characterization of the multiscale limit associated with bounded sequences in BV. Zbl 1254.28009
Ferreira, Rita; Fonseca, Irene
4
2012
On lower semicontinuity in \(BH^p\) and 2-quasiconvexification. Zbl 1040.49017
Fonseca, Irene; Leoni, Giovanni; Paroni, Roberto
4
2003
A homogenization result in the gradient theory of phase transitions. Zbl 1425.74389
Cristoferi, Riccardo; Fonseca, Irene; Hagerty, Adrian; Popovici, Cristina
4
2019
Regularity results for an optimal design problem with quasiconvex bulk energies. Zbl 1392.49037
Carozza, Menita; Fonseca, Irene; Passarelli di Napoli, Antonia
3
2018
Remarks on the determinant in nonlinear elasticity and fracture mechanics. Zbl 0962.49012
Fonseca, Irene; Malý, Jan
3
1999
Oscillations in a dynamical model of phase transitions. Zbl 0982.74052
Brandon, Deborah; Fonseca, Irene; Swart, Pieter
3
2001
A Young measure approach to a nonlinear membrane model involving the bending moment. Zbl 1084.49012
Bocea, Marian; Fonseca, Irene
3
2004
Regularity results for equilibria in a variational model for fracture. Zbl 0895.73080
Acerbi, Emilio; Fonseca, Irene; Fusco, Nicola
3
1997
\(\Gamma\)-convergence, minimizing movements and generalized mean curvature evolution. Zbl 0829.35050
Fonseca, Irene; Katsoulakis, Markos A.
3
1995
Reiterated homogenization in \(BV\) via multiscale convergence. Zbl 1244.49023
Ferreira, Rita; Fonseca, Irene
3
2012
Periodic homogenization of integral energies under space-dependent differential constraints. Zbl 1354.49024
Davoli, Elisa; Fonseca, Irene
3
2016
Shapes of epitaxially grown quantum dots. Zbl 1320.82047
Fonseca, Irene; Pratelli, Aldo; Zwicknagl, Barbara
3
2014
On the motion of curved dislocations in three dimensions: simplified linearized elasticity. Zbl 1468.35198
Fonseca, Irene; Ginster, Janusz; Wojtowytsch, Stephan
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
2
2020
A homogenization result in the gradient theory of phase transitions. Zbl 1425.74389
Cristoferi, Riccardo; Fonseca, Irene; Hagerty, Adrian; Popovici, Cristina
4
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
7
2018
Regularity results for an optimal design problem with quasiconvex bulk energies. Zbl 1392.49037
Carozza, Menita; Fonseca, Irene; Passarelli di Napoli, Antonia
3
2018
Asymptotic analysis of second order nonlocal Cahn-Hilliard-type functionals. Zbl 1383.49016
Dal Maso, Gianni; Fonseca, Irene; Leoni, Giovanni
2
2018
A chromaticity-brightness model for color images denoising in a Meyer’s “\(u + v\)” framework. Zbl 1379.49011
Ferreira, Rita; Fonseca, Irene; Mascarenhas, M. Luísa
2
2017
Equilibria and dislocations in epitaxial growth. Zbl 1364.82041
Fonseca, I.; Leoni, G.; Morini, M.
1
2017
Domain formation in membranes near the onset of instability. Zbl 1353.49013
Fonseca, Irene; Hayrapetyan, Gurgen; Leoni, Giovanni; Zwicknagl, Barbara
5
2016
Homogenization of integral energies under periodically oscillating differential constraints. Zbl 1347.49017
Davoli, Elisa; Fonseca, Irene
5
2016
Periodic homogenization of integral energies under space-dependent differential constraints. Zbl 1354.49024
Davoli, Elisa; Fonseca, Irene
3
2016
Dynamics for systems of screw dislocations. Zbl 1322.34059
Blass, 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 1331.35172
Fonseca, Irene; Leoni, Giovanni; Lu, Xin Yang
12
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
9
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.
13
2014
Regularity results for an optimal design problem with a volume constraint. Zbl 1286.49041
Carozza, Menita; Fonseca, Irene; Di Napoli, Antonia Passarelli
5
2014
A few remarks on variational models for denoising. Zbl 1304.49073
Choksi, Rustum; Fonseca, Irene; Zwicknagl, Barbara
4
2014
Shapes of epitaxially grown quantum dots. Zbl 1320.82047
Fonseca, Irene; Pratelli, Aldo; Zwicknagl, Barbara
3
2014
Motion of elastic thin films by anisotropic surface diffusion with curvature regularization. Zbl 1270.74127
Fonseca, I.; Fusco, N.; Leoni, G.; Morini, M.
13
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
12
2011
Singular perturbation models in phase transitions for second-order materials. Zbl 1255.49022
Chermisi, M.; Dal Maso, G.; Fonseca, I.; Leoni, G.
10
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
14
2010
Multiple integrals under differential constraints: two-scale convergence and homogenization. Zbl 1198.49011
Fonseca, Irene; Krömer, Stefan
12
2010
Nonlocal character of the reduced theory of thin films with higher order perturbations. Zbl 1195.49019
Dal Maso, Gianni; Fonseca, Irene; Leoni, Giovanni
6
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.
16
2009
The Cosserat vector in membrane theory: a variational approach. Zbl 1179.35015
Bouchitté, Guy; Fonseca, Irene; Mascarenhas, M. Luísa
6
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
213
2007
Equilibrium configurations of epitaxially strained crystalline films: Existence and regularity results. Zbl 1126.74029
Fonseca, I.; Fusco, N.; Leoni, G.; Morini, M.
29
2007
Surfactants in foam stability: a phase-field model. Zbl 1107.76076
Fonseca, Irene; Morini, Massimiliano; Slastikov, Valeriy
23
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
8
2006
Weak continuity and lower semicontinuity results for determinants. Zbl 1081.49013
Fonseca, Irene; Leoni, Giovanni; Malý, Jan
18
2005
From Jacobian to Hessian: distributional form and relaxation. Zbl 1101.49011
Fonseca, Irene; Malý, Jan
12
2005
Topological degree, Jacobian determinants and relaxation. Zbl 1177.49066
Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo
6
2005
Coupled singular perturbations for phase transitions. Zbl 1090.49001
Fonseca, Irene; Popovici, Cristina
6
2005
On Hessian matrices in the space \(BH\). Zbl 1102.49021
Fonseca, Irene; Leoni, Giovanni; Paroni, Roberto
5
2005
Scalar minimizers with fractal singular sets. Zbl 1049.49015
Fonseca, Irene; Malý, Jan; Mingione, Giuseppe
52
2004
\(\mathcal A\)-quasiconvexity: weak-star convergence and the gap. Zbl 1064.49016
Fonseca, Irene; Leoni, Giovanni; Müller, Stefan
13
2004
Higher-order quasiconvexity reduces to quasiconvexity. Zbl 1082.49017
Dal Maso, Gianni; Fonseca, Irene; Leoni, Giovanni; Morini, Massimiliano
10
2004
On the total variation of the Jacobian. Zbl 1041.49016
Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo
8
2004
A Young measure approach to a nonlinear membrane model involving the bending moment. Zbl 1084.49012
Bocea, Marian; Fonseca, Irene
3
2004
Relaxation of convex functionals: the gap problem. Zbl 1025.49012
Acerbi, E.; Bouchitté, G.; Fonseca, I.
23
2003
Bending moment in membrane theory. Zbl 1059.74034
Bouchitté, Guy; Fonseca, Irene; Mascarenhas, M. Luísa
16
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
An existence result for a nonconvex variational problem via regularity. Zbl 1044.49011
Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo
41
2002
A global method for relaxation in \(W^{1,p}\) and in SBV\(_p\). Zbl 1028.49009
Bouchitté, Guy; Fonseca, Irene; Leoni, Giovanni; Mascarenhas, Luísa
35
2002
A \(\Gamma\)-convergence result for the two-gradient theory of phase transitions. Zbl 1029.49040
Conti, Sergio; Fonseca, Irene; Leoni, Giovanni
32
2002
\(A\)-\(B\) quasiconvexity and implicit partial differential equations. Zbl 1030.35022
Dacorogna, Bernard; Fonseca, Irene
12
2002
Equi-integrability results for 3D-2D dimension reduction problems. Zbl 1044.49010
Bocea, Marian; Fonseca, Irene
9
2002
An asymptotic study of the debonding of thin films. Zbl 0999.74079
Bhattacharya, Kaushik; Fonseca, Irene; Francfort, Gilles
8
2002
Relaxation of variational problems under trace constraints. Zbl 1013.49008
Bouchitté, Guy; Fonseca, Irene; Mascarenhas, Luísa
5
2002
A note on Meyers’ theorem in \(W^{k,1}\). Zbl 1006.49006
Fonseca, Irene; Leoni, Giovanni; Malý, Jan; Paroni, Roberto
2
2002
On lower semicontinuity and relaxation. Zbl 1003.49015
Fonseca, Irene; Leoni, Giovanni
15
2001
Brittle thin films. Zbl 0999.49012
Braides, A.; Fonseca, I.
12
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.
50
2000
A-quasiconvexity: Relaxation and homogenization. Zbl 0971.35010
Braides, Andrea; Fonseca, Irene; Leoni, Giovanni
44
2000
Second order singular perturbation models for phase transitions. Zbl 0958.49007
Fonseca, Irene; Mantegazza, Carlo
24
2000
A relaxation theorem in the space of functions of bounded deformation. Zbl 0960.49014
Barroso, Ana Cristina; Fonseca, Irene; Toader, Rodica
21
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
109
1999
Structured deformations as energy minimizers in models of fracture and hystersis. Zbl 1001.74566
Choksi, R.; del Piero, G.; Fonseca, I.; Owen, D.
18
1999
Manifold constrained variational problems. Zbl 0935.49006
Dacorogna, B.; Fonseca, I.; Malý, J.; Trivisa, K.
16
1999
On a volume-constrained variational problem. Zbl 0945.49005
Ambrosio, Luigi; Fonseca, Irene; Marcellini, Paolo; Tartar, Luc
9
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
2
1999
Analysis of concentration and oscillation effects generated by gradients. Zbl 0920.49009
Fonseca, Irene; Müller, Stefan; Pedregal, Pablo
70
1998
A global method for relaxation. Zbl 0921.49004
Bouchitté, Guy; Fonseca, Irene; Mascarenhas, Luisa
47
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
20
1998
3D-2D asymptotic analysis of an optimal design problem for thin films. Zbl 0917.73052
Fonseca, Irene; Francfort, Gilles
18
1998
Regularity results for anisotropic image segmentation models. Zbl 0899.49018
Fonseca, Irene; Fusco, Nicola
48
1997
Relaxation of multiple integrals below the growth exponent. Zbl 0868.49011
Fonseca, Irene; Malý, Jan
42
1997
Bulk and interfacial energy densities for structured deformations of continua. Zbl 0891.73078
Choksi, Rustum; Fonseca, Irene
25
1997
Relaxation of multiple integral in subcritical Sobolev spaces. Zbl 0915.49011
Fonseca, Irene; Marcellini, Paolo
21
1997
Regularity results for equilibria in a variational model for fracture. Zbl 0895.73080
Acerbi, Emilio; Fonseca, Irene; Fusco, Nicola
3
1997
A change of variables formula for mappings in \(\mathbf{BV}\). Zbl 0883.49029
Choksi, Rustum; Fonseca, Irene
2
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
8
1996
Lower semicontinuity problems in Sobolev spaces with respect to a measure. Zbl 0844.49012
Ambrosio, L.; Buttazzo, G.; Fonseca, I.
4
1996
Variational techniques for problems in materials science. Zbl 0871.49016
Fonseca, Irene
1
1996
Degree theory in analysis and applications. Zbl 0852.47030
Fonseca, Irene; Gangbo, Wilfrid
123
1995
Local invertibility of Sobolev functions. Zbl 0839.30018
Fonseca, I.; Gangbo, W.
18
1995
Relaxation in \(BV\) versus quasiconvexification in \(W^{1,p}\); a model for the interaction between fracture and damage. Zbl 0847.73077
Fonseca, Irene; Francfort, Gilles A.
16
1995
\(\Gamma\)-convergence, minimizing movements and generalized mean curvature evolution. Zbl 0829.35050
Fonseca, Irene; Katsoulakis, Markos A.
3
1995
Anisotropic singular perturbations – the vectorial case. Zbl 0804.49013
Barroso, Ana Cristina; Fonseca, Irene
28
1994
Energy functionals depending on elastic strain and chemical composition. Zbl 0800.49030
Fonseca, Irene; Kinderlehrer, David; Pedregal, Pablo
14
1994
...and 17 more Documents
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
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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
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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)

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