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Author ID: fonseca.irene Recent zbMATH articles by "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
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

Publications by Year

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 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
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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. Theory, Methods & Applications. Series A: Theory and Methods
55 SIAM Journal on Mathematical Analysis
50 Journal of Mathematical Analysis and Applications
36 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
33 Advances in Calculus of Variations
32 Journal de Mathématiques Pures et Appliquées. Neuvième Série
30 Journal of Functional Analysis
30 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
27 Journal of Differential Equations
25 Journal of Elasticity
24 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
23 Journal of Nonlinear Science
21 Annali di Matematica Pura ed Applicata. Serie Quarta
17 Journal of the Mechanics and Physics of Solids
16 Applied Mathematics and Optimization
14 Communications on Pure and Applied Mathematics
14 Discrete and Continuous Dynamical Systems
13 Computer Methods in Applied Mechanics and Engineering
13 Continuum Mechanics and Thermodynamics
13 NoDEA. Nonlinear Differential Equations and Applications
12 Discrete and Continuous Dynamical Systems. Series S
11 Proceedings of the American Mathematical Society
11 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
11 The Journal of Geometric Analysis
11 Comptes Rendus. Mathématique. Académie des Sciences, Paris
10 ZAMP. Zeitschrift für angewandte Mathematik und Physik
10 Mathematische Annalen
10 Interfaces and Free Boundaries
10 Communications on Pure and Applied Analysis
9 Communications in Mathematical Physics
9 European Journal of Applied Mathematics
9 Mathematics and Mechanics of Solids
8 Applicable Analysis
8 Ricerche di Matematica
8 Mathematics in Engineering
7 Journal of Computational Physics
7 Mathematical Methods in the Applied Sciences
7 Journal of Optimization Theory and Applications
7 Manuscripta Mathematica
7 Transactions of the American Mathematical Society
7 Asymptotic Analysis
7 Communications in Partial Differential Equations
7 Communications in Contemporary Mathematics
7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
7 Advances in Nonlinear Analysis
6 Quarterly of Applied Mathematics
6 Physica D
6 Forum Mathematicum
6 Journal of the European Mathematical Society (JEMS)
6 SIAM Journal on Imaging Sciences
6 Analysis & PDE
5 Journal of Mathematical Physics
5 Journal of Statistical Physics
5 Nonlinearity
5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
5 Journal of the London Mathematical Society. Second Series
5 Journal of Convex Analysis
5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
5 Analysis and Applications (Singapore)
5 Nonlinear Analysis. Theory, Methods & Applications
5 Journal of Elliptic and Parabolic Equations
4 Advances in Mathematics
4 Indiana University Mathematics Journal
4 Inventiones Mathematicae
4 Mathematische Nachrichten
4 SIAM Journal on Control and Optimization
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 Potential Analysis
4 SIAM Journal on Scientific Computing
4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
4 Nonlinear Analysis. Real World Applications
4 Milan Journal of Mathematics
4 Multiscale Modeling & Simulation
4 Evolution Equations and Control Theory
4 Mathematics and Mechanics of Complex Systems
3 Inverse Problems
3 Israel Journal of Mathematics
3 Journal d’Analyse Mathématique
3 Rocky Mountain Journal of Mathematics
3 Mathematics of Computation
3 Applied Mathematics and Computation
3 Duke Mathematical Journal
3 Numerische Mathematik
3 Siberian Mathematical Journal
3 Journal of Scientific Computing
3 Applications of Mathematics
3 Journal of Global Optimization
3 Geometric and Functional Analysis. GAFA
3 SIAM Journal on Applied Mathematics
3 Bulletin des Sciences Mathématiques
3 Annales Academiae Scientiarum Fennicae. Mathematica
3 Doklady Mathematics
3 European Journal of Mechanics. A. Solids
3 Advanced Nonlinear Studies
...and 131 more Serials
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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

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