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Fusco, Nicola

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Author ID: fusco.nicola Recent zbMATH articles by "Fusco, Nicola"
Published as: Fusco, N.; Fusco, Nicola
External Links: Wikidata · GND
Documents Indexed: 132 Publications since 1979, including 2 Books
Biographic References: 2 Publications
all top 5

Serials

8 Journal of Functional Analysis
8 Calculus of Variations and Partial Differential Equations
7 Archive for Rational Mechanics and Analysis
6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
5 Ricerche di Matematica
5 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
4 Journal of Mathematical Analysis and Applications
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
4 Manuscripta Mathematica
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Communications in Mathematical Physics
3 Journal für die Reine und Angewandte Mathematik
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Journal of Convex Analysis
3 Journal of the European Mathematical Society (JEMS)
2 Journal of Differential Equations
2 Differential and Integral Equations
2 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica
2 Annals of Mathematics. Second Series
2 Rendiconto dell’Accademia delle Scienze Fisiche e Matematiche. Serie IV
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Applicable Analysis
1 Communications on Pure and Applied Mathematics
1 Journal d’Analyse Mathématique
1 Advances in Mathematics
1 American Journal of Mathematics
1 Atti della Accademia Nazionale dei Lincei. Memorie. Classe di Scienze Fisiche, Matematiche e Naturali. Serie VIII. Sezione I (Matematica, Meccanica, Astronomia, Geodesia e Geofisica)
1 Journal of Differential Geometry
1 Le Matematiche
1 Portugaliae Mathematica
1 Proceedings of the American Mathematical Society
1 Proceedings of the London Mathematical Society. Third Series
1 Rendiconti dell’Accademia delle Scienze Fisiche e Matemàtiche. Serie IV
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali
1 Communications in Partial Differential Equations
1 Journal of the Australian Mathematical Society. Series A
1 SIAM Journal on Mathematical Analysis
1 Bollettino della Unione Matemàtica Italiana. Serie VI. B
1 Bollettino della Unione Matemàtica Italiana. Serie VII. A
1 NoDEA. Nonlinear Differential Equations and Applications
1 Bulletin des Sciences Mathématiques
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Interfaces and Free Boundaries
1 Discrete and Continuous Dynamical Systems. Series B
1 Milan Journal of Mathematics
1 Bollettino della Unione Matematica Italiana. Series V. B
1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
1 Centro di Ricerca Matematica Ennio De Giorgi (CRM) Series
1 Advances in Calculus of Variations
1 Analysis & PDE
1 Bulletin of Mathematical Sciences
1 Oxford Mathematical Monographs

Publications by Year

Citations contained in zbMATH Open

115 Publications have been cited 3,875 times in 2,685 Documents Cited by Year
Functions of bounded variation and free discontinuity problems. Zbl 0957.49001
Ambrosio, Luigi; Fusco, Nicola; Pallara, Diego
2000
Semicontinuity problems in the calculus of variations. Zbl 0565.49010
Acerbi, Emilio; Fusco, Nicola
274
1984
Regularity for minimizers of non-quadratic functionals: The case \(1<p<2\). Zbl 0686.49004
Acerbi, E.; Fusco, N.
139
1989
The sharp quantitative isoperimetric inequality. Zbl 1187.52009
Fusco, Nicola; Maggi, Francesco; Pratelli, Aldo
120
2008
Some remarks on the regularity of minima of anisotropic integrals. Zbl 0795.49025
Fusco, Nicola; Sbordone, Carlo
71
1993
Partial regularity under anisotropic \((p,q)\) growth conditions. Zbl 0807.49010
Acerbi, Emilio; Fusco, Nicola
65
1994
Partial regularity of minimizers of quasiconvex integrals with subquadratic growth. Zbl 0960.49025
Carozza, Menita; Fusco, Nicola; Mingione, Giuseppe
64
1998
Minimality via second variation for a nonlocal isoperimetric problem. Zbl 1270.49043
Acerbi, E.; Fusco, N.; Morini, M.
63
2013
A regularity theorem for minimizers of quasiconvex integrals. Zbl 0627.49007
Acerbi, Emilio; Fusco, Nicola
58
1987
Higher integrability of the gradient of minimizers of functionals with nonstandard growth conditions. Zbl 0727.49021
Fusco, Nicola; Sbordone, Carlo
55
1990
Isoperimetry and stability properties of balls with respect to nonlocal energies. Zbl 1312.49051
Figalli, A.; Fusco, N.; Maggi, F.; Millot, V.; Morini, M.
53
2015
Sobolev imbedding theorems in borderline cases. Zbl 0841.46023
Fusco, Nicola; Lions, Pierre Louis; Sbordone, Carlo
52
1996
The sharp Sobolev inequality in quantitative form. Zbl 1185.46025
Cianchi, A.; Fusco, N.; Maggi, F.; Pratelli, A.
47
2009
On the isoperimetric deficit in Gauss space. Zbl 1219.28005
Cianchi, A.; Fusco, N.; Maggi, F.; Pratelli, A.
44
2011
Partial regularity for minimisers of certain functionals having nonquadratic growth. Zbl 0698.49001
Fusco, Nicola; Hutchinson, John
43
1989
Regularity results for anisotropic image segmentation models. Zbl 0899.49018
Fonseca, Irene; Fusco, Nicola
42
1997
\(C^{1,\alpha}\) partial regularity of functions minimising quasiconvex integrals. Zbl 0587.49005
Fusco, Nicola; Hutchinson, John
41
1986
An existence result for a nonconvex variational problem via regularity. Zbl 1044.49011
Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo
37
2002
Functions of bounded variation and rearrangements. Zbl 1028.49035
Cianchi, Andrea; Fusco, Nicola
36
2002
Local boundedness of minimizers in a limit case. Zbl 0722.49012
Fusco, Nicola; Sbordone, Carlo
36
1990
Stability estimates for certain Faber-Krahn, isocapacitary and Cheeger inequalities. Zbl 1176.49047
Fusco, Nicola; Maggi, Francesco; Pratelli, Aldo
34
2009
The perimeter inequality under Steiner symmetrization: cases of equality. Zbl 1087.28003
Chlebík, Miroslav; Cianchi, Andrea; Fusco, Nicola
33
2005
A transmission problem in the calculus of variations. Zbl 0791.49041
Acerbi, E.; Fusco, N.
32
1994
On the homogenization of quasilinear divergence structure operators. Zbl 0636.35027
Fusco, N.; Moscariello, G.
32
1987
An approximation lemma for \(W^{1,p}\) functions. Zbl 0644.46026
Acerbi, Emilio; Fusco, Nicola
31
1988
Integrability for the Jacobian of orientation preserving mappings. Zbl 0847.26012
Brézis, Haïm; Fusco, Nicola; Sbordone, Carlo
28
1993
Equilibrium configurations of epitaxially strained crystalline films: Existence and regularity results. Zbl 1126.74029
Fonseca, I.; Fusco, N.; Leoni, G.; Morini, M.
27
2007
Hölder continuity of local minimizers. Zbl 0949.49022
Cupini, Giovanni; Fusco, Nicola; Petti, Raffaella
27
1999
Gradient regularity for minimizers under general growth conditions. Zbl 0913.49024
Cianchi, Andrea; Fusco, Nicola
27
1999
Equilibrium configurations of epitaxially strained elastic films: second-order minimality conditions and qualitative properties of solutions. Zbl 1281.74024
Fusco, N.; Morini, M.
26
2012
Partial regularity of free discontinuity sets. II. Zbl 0896.49024
Ambrosio, Luigi; Fusco, Nicola; Pallara, Diego
26
1997
A quantitative isoperimetric inequality for fractional perimeters. Zbl 1228.46030
Fusco, Nicola; Millot, Vincent; Morini, Massimiliano
25
2011
Steiner symmetric extremals in Pólya-Szegő-type inequalities. Zbl 1110.46021
Cianchi, Andrea; Fusco, Nicola
25
2006
A quantitative version of the isoperimetric inequality: the anisotropic case. Zbl 1170.52300
Fusco, Nicola; Esposito, Luca; Trombetti, Cristina
25
2005
On \(L^1\)-lower semicontinuity in \(BV\). Zbl 1115.49011
De Cicco, Virginia; Fusco, Nicola; Verde, Anna
24
2005
The sharp quantitative Sobolev inequality for functions of bounded variation. Zbl 1121.46029
Fusco, N.; Maggi, F.; Pratelli, A.
23
2007
A direct proof for lower semicontinuity of polyconvex functionals. Zbl 0874.49015
Fusco, Nicola; Hutchinson, John E.
23
1995
The limit of \(W^{1,1}\) homeomorphisms with finite distortion. Zbl 1157.30016
Fusco, N.; Moscariello, G.; Sbordone, C.
18
2008
A strong form of the quantitative isoperimetric inequality. Zbl 1296.49041
Fusco, Nicola; Julin, Vesa
17
2014
Stability of the Steiner symmetrization of convex sets. Zbl 1277.52012
Barchiesi, Marco; Cagnetti, Filippo; Fusco, Nicola
16
2013
A quantitative Pólya-Szegő principle. Zbl 1175.46021
Cianchi, Andrea; Esposito, Luca; Fusco, Nicola; Trombetti, Cristina
16
2008
The classical isoperimetric theorem. Zbl 1096.49024
Fusco, Nicola
15
2004
Partial regularity in problems motivated by nonlinear elasticity. Zbl 0744.35014
Fusco, Nicola; Hutchinson, J.
14
1991
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
A chain rule formula in \(BV\) and application to lower semicontinuity. Zbl 1136.49011
De Cicco, Virginia; Fusco, Nicola; Verde, Anna
13
2007
Existence of minimizers for some non convex one-dimensional integrals. Zbl 0912.49015
Fusco, N.; Marcellini, P.; Ornelas, A.
13
1998
Local regularity for minimizers of non convex integrals. Zbl 0829.49025
Acerbi, E.; Fusco, N.
13
1989
Material voids in elastic solids with anisotropic surface energies. Zbl 1285.74003
Fonseca, Irene; Fusco, Nicola; Leoni, Giovanni; Millot, Vincent
12
2011
A relaxation result in BV for integral functionals with discontinuous integrands. Zbl 1330.49008
Amar, Micol; De Cicco, Virginia; Fusco, Nicola
12
2007
Partial regularity results for vector valued functions which minimize certain functionals having non quadratic growth under smooth side conditions. Zbl 0642.49002
Fuchs, Martin; Fusco, Nicola
11
1988
Semicontinuity and relaxation for integrals depending on vector valued functions. Zbl 0481.49013
Acerbi, Emilio; Buttazzo, Giuseppe; Fusco, Nicola
11
1983
The quantitative isoperimetric inequality and related topics. Zbl 1327.49076
Fusco, Nicola
10
2015
A sharp quantitative isoperimetric inequality in higher codimension. Zbl 1320.49030
Bögelein, Verena; Duzaar, Frank; Fusco, Nicola
10
2015
On the isoperimetric problem with respect to a mixed Euclidean-Gaussian density. Zbl 1222.49058
Fusco, N.; Maggi, F.; Pratelli, A.
10
2011
Lower semicontinuity and relaxation results in BV for integral functionals with BV integrands. Zbl 1149.49016
Amar, Micol; De Cicco, Virginia; Fusco, Nicola
10
2008
A remark on Serrin’s theorem. Zbl 1215.49024
Fusco, Nicola; Gori, Michele; Maggi, Francesco
10
2006
Partial regularity and everywhere continuity for a model problem from nonlinear elasticity. Zbl 0864.35032
Fusco, Nicola; Hutchinson, John E.
10
1994
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
On the solvability of the equation \( \text{div} \, u=f\) in \(L^1\) and in \(C^0\). Zbl 1225.35050
Dacorogna, Bernard; Fusco, Nicola; Tartar, Luc
9
2003
Regularity of minimizers for a class of anisotropic free discontinuity problems. Zbl 1011.49025
Fusco, Nicola; Mingione, Giuseppe; Trombetti, Cristina
9
2001
On the convergence of integral functionals depending on vector-valued functions. Zbl 0563.49007
Fusco, Nicola
9
1983
\(L^ 2-\)lower semicontinuity of functionals of quadratic type. Zbl 0483.49008
Fusco, Nicola; Moscariello, Gioconda
9
1981
Stability of Pólya-Szegő inequality for log-concave functions. Zbl 1298.26067
Barchiesi, M.; Capriani, G. M.; Fusco, N.; Pisante, G.
8
2014
A remark on a free interface problem with volume constraint. Zbl 1216.49033
Esposito, Luca; Fusco, Nicola
8
2011
Higher integrability of the gradient and dimension of the singular set for minimisers of the Mumford-Shah functional. Zbl 1047.49015
Ambrosio, Luigi; Fusco, Nicola; Hutchinson, John E.
8
2003
Continuity properties of minimizers of integral functionals in a limit case. Zbl 0865.49008
Ferone, Vincenzo; Fusco, Nicola
8
1996
BMO-type seminorms and Sobolev functions. Zbl 1410.46021
Fusco, Nicola; Moscariello, Gioconda; Sbordone, Carlo
7
2018
On the approximation of SBV functions. Zbl 1366.26020
de Philippis, Guido; Fusco, Nicola; Pratelli, Aldo
7
2017
A formula for the total variation of SBV functions. Zbl 1332.26018
Fusco, N.; Moscariello, G.; Sbordone, C.
7
2016
On a Bonnesen type inequality involving the spherical deviation. Zbl 1262.51017
Fusco, Nicola; Gelli, Maria Stella; Pisante, Giovanni
7
2012
On the total variation of the Jacobian. Zbl 1041.49016
Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo
7
2004
Further results on the homogenization of quasilinear operators. Zbl 0658.35016
Fusco, Nicola; Moscariello, Gioconda
7
1986
Quasi-convessita e semicontinuita per integrali multipli di ordine superiore. Zbl 0508.49012
Fusco, Nicola
7
1980
A model for dislocations in epitaxially strained elastic films. Zbl 1387.49005
Fonseca, I.; Fusco, N.; Leoni, Giovanni; Morini, Massimiliano
6
2018
A quantitative isoperimetric inequality on the sphere. Zbl 1370.49039
Bögelein, Verena; Duzaar, Frank; Fusco, Nicola
6
2017
On the regularity of critical and minimal sets of a free interface problem. Zbl 1321.49061
Fusco, Nicola; Julin, Vesa
6
2015
A note on the convex hull of sets of finite perimeter in the plane. Zbl 1158.49044
Ferriero, Alessandro; Fusco, Nicola
6
2009
Minimal rearrangements, strict convexity and critical points. Zbl 1104.46016
Cianchi, Andrea; Fusco, Nicola
6
2006
Topological degree, Jacobian determinants and relaxation. Zbl 1177.49066
Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo
6
2005
An overview of the Mumford-Shah problem. Zbl 1226.49014
Fusco, Nicola
6
2003
A lower semi-continuity result for polyconvex functionals in SBV. Zbl 1125.49007
Fusco, Nicola; Leone, Chiara; Verde, Anna; March, Riccardo
5
2006
A remark on the \(L^1\)-lower semicontinuity for integral functionals in BV. Zbl 1030.49014
Fusco, Nicola; Giannetti, Flavia; Verde, Anna
5
2003
VMO solution of the \(N\)-Laplacian with measure data. Zbl 0883.35047
Ferone, Vincenzo; Fusco, Nicola
5
1997
A \(W^{2'2}\) bound for a class of elliptic equations with discontinuous coefficients. Zbl 0524.35034
Franciosi, Michelangelo; Fusco, Nicola
5
1982
A formula for the anisotropic total variation of SBV functions. Zbl 1434.26029
Farroni, Fernando; Fusco, Nicola; Guarino Lo Bianco, Serena; Schiattarella, Roberta
4
2020
A remark on an integral characterization of the dual of BV. Zbl 1373.26009
Fusco, Nicola; Spector, Daniel
4
2018
Regularity properties of equilibrium configurations of epitaxially strained elastic films. Zbl 1290.74027
de Maria, Bruno; Fusco, Nicola
4
2012
On a conjecture by Auerbach. Zbl 1227.49047
Fusco, Nicola; Pratelli, A.
4
2011
Dirichlet integrals and Steiner asymmetry. Zbl 1124.46017
Cianchi, Andrea; Fusco, Nicola
4
2006
Higher regularity of solutions of free discontinuity problems. Zbl 1007.49025
Ambrosio, Luigi; Fusco, Nicola; Pallara, Diego
4
1999
Regularity of minimizing sequences for functionals of the calculus of variations via the Ekeland principle. Zbl 1007.49024
Boccardo, Lucio; Ferone, Vincenzo; Fusco, Nicola; Orsina, Luigi
4
1999
\(C^{0, \alpha}\) regularity of \(\omega\)-minima. Zbl 0866.49020
Dolcini, A.; Esposito, L.; Fusco, N.
4
1996
The \(\Gamma\)-limit of traveling waves in the FitzHugh-Nagumo system. Zbl 1418.35063
Chen, Chao-Nien; Choi, Yung Sze; Fusco, Nicola
3
2019
The surface diffusion flow with elasticity in the plane. Zbl 06932743
Fusco, Nicola; Julin, Vesa; Morini, Massimiliano
3
2018
Lower semicontinuity results for free discontinuity energies. Zbl 1211.49014
Amar, M.; de Cicco, V.; Fusco, N.
3
2010
Sharp upper bounds for the density of some invariant measures. Zbl 1206.47038
Fornaro, Simona; Fusco, Nicola; Metafune, Giorgio; Pallara, Diego
3
2009
Strict monotonicity of functionals under Steiner symmetrization. Zbl 1114.49040
Cianchi, Andrea; Fusco, Nicola
3
2004
Regularity results for equilibria in a variational model for fracture. Zbl 0895.73080
Acerbi, Emilio; Fonseca, Irene; Fusco, Nicola
3
1997
\(W^{2,p}\) regularity for the solutions of elliptic non-divergence form equations with rough coefficients. Zbl 0751.35007
Franciosi, M.; Fusco, N.
3
1989
Semi-continuité des fonctionnelles avec contraintes du type ”det \(\nabla u>0''\). Zbl 0564.49005
Dacorogna, B.; Fusco, N.
3
1985
A formula for the anisotropic total variation of SBV functions. Zbl 1434.26029
Farroni, Fernando; Fusco, Nicola; Guarino Lo Bianco, Serena; Schiattarella, Roberta
4
2020
A sharp stability result for the Gauss mean value formula. Zbl 07308605
Cupini, Giovanni; Lanconelli, Ermanno; Fusco, Nicola; Zhong, Xiao
1
2020
The surface diffusion flow with elasticity in three dimensions. Zbl 1443.74186
Fusco, Nicola; Julin, Vesa; Morini, Massimiliano
1
2020
The \(\Gamma\)-limit of traveling waves in the FitzHugh-Nagumo system. Zbl 1418.35063
Chen, Chao-Nien; Choi, Yung Sze; Fusco, Nicola
3
2019
A note on relaxation with constraints on the determinant. Zbl 1437.49026
Cicalese, Marco; Fusco, Nicola
2
2019
Nonlinear stability results for the modified Mullins-Sekerka and the surface diffusion flow. Zbl 07104702
Acerbi, E.; Fusco, N.; Julin, V.; Morini, M.
2
2019
BMO-type seminorms and Sobolev functions. Zbl 1410.46021
Fusco, Nicola; Moscariello, Gioconda; Sbordone, Carlo
7
2018
A model for dislocations in epitaxially strained elastic films. Zbl 1387.49005
Fonseca, I.; Fusco, N.; Leoni, Giovanni; Morini, Massimiliano
6
2018
A remark on an integral characterization of the dual of BV. Zbl 1373.26009
Fusco, Nicola; Spector, Daniel
4
2018
The surface diffusion flow with elasticity in the plane. Zbl 06932743
Fusco, Nicola; Julin, Vesa; Morini, Massimiliano
3
2018
On the approximation of SBV functions. Zbl 1366.26020
de Philippis, Guido; Fusco, Nicola; Pratelli, Aldo
7
2017
A quantitative isoperimetric inequality on the sphere. Zbl 1370.49039
Bögelein, Verena; Duzaar, Frank; Fusco, Nicola
6
2017
A quantitative form of Faber-Krahn inequality. Zbl 06798273
Fusco, Nicola; Zhang, Yi Ru-Ya
2
2017
The stability of the isoperimetric inequality. Zbl 1432.35008
Fusco, Nicola
2
2017
A formula for the total variation of SBV functions. Zbl 1332.26018
Fusco, N.; Moscariello, G.; Sbordone, C.
7
2016
On the Euler-Lagrange equation of a functional by Pólya and Szegö. Zbl 1346.49069
Fusco, N.; Zhong, X.
1
2016
Isoperimetry and stability properties of balls with respect to nonlocal energies. Zbl 1312.49051
Figalli, A.; Fusco, N.; Maggi, F.; Millot, V.; Morini, M.
53
2015
The quantitative isoperimetric inequality and related topics. Zbl 1327.49076
Fusco, Nicola
10
2015
A sharp quantitative isoperimetric inequality in higher codimension. Zbl 1320.49030
Bögelein, Verena; Duzaar, Frank; Fusco, Nicola
10
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
On the regularity of critical and minimal sets of a free interface problem. Zbl 1321.49061
Fusco, Nicola; Julin, Vesa
6
2015
A strong form of the quantitative isoperimetric inequality. Zbl 1296.49041
Fusco, Nicola; Julin, Vesa
17
2014
Stability of Pólya-Szegő inequality for log-concave functions. Zbl 1298.26067
Barchiesi, M.; Capriani, G. M.; Fusco, N.; Pisante, G.
8
2014
Weak lower semicontinuity for polyconvex integrals in the limit case. Zbl 1297.49018
Focardi, M.; Fusco, N.; Leone, C.; Marcellini, P.; Mascolo, E.; Verde, A.
2
2014
Minimality via second variation for a nonlocal isoperimetric problem. Zbl 1270.49043
Acerbi, E.; Fusco, N.; Morini, M.
63
2013
Stability of the Steiner symmetrization of convex sets. Zbl 1277.52012
Barchiesi, Marco; Cagnetti, Filippo; Fusco, Nicola
16
2013
Equilibrium configurations of epitaxially strained elastic films: second-order minimality conditions and qualitative properties of solutions. Zbl 1281.74024
Fusco, N.; Morini, M.
26
2012
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
On a Bonnesen type inequality involving the spherical deviation. Zbl 1262.51017
Fusco, Nicola; Gelli, Maria Stella; Pisante, Giovanni
7
2012
Regularity properties of equilibrium configurations of epitaxially strained elastic films. Zbl 1290.74027
de Maria, Bruno; Fusco, Nicola
4
2012
On the isoperimetric deficit in Gauss space. Zbl 1219.28005
Cianchi, A.; Fusco, N.; Maggi, F.; Pratelli, A.
44
2011
A quantitative isoperimetric inequality for fractional perimeters. Zbl 1228.46030
Fusco, Nicola; Millot, Vincent; Morini, Massimiliano
25
2011
Material voids in elastic solids with anisotropic surface energies. Zbl 1285.74003
Fonseca, Irene; Fusco, Nicola; Leoni, Giovanni; Millot, Vincent
12
2011
On the isoperimetric problem with respect to a mixed Euclidean-Gaussian density. Zbl 1222.49058
Fusco, N.; Maggi, F.; Pratelli, A.
10
2011
A remark on a free interface problem with volume constraint. Zbl 1216.49033
Esposito, Luca; Fusco, Nicola
8
2011
On a conjecture by Auerbach. Zbl 1227.49047
Fusco, Nicola; Pratelli, A.
4
2011
Lower semicontinuity results for free discontinuity energies. Zbl 1211.49014
Amar, M.; de Cicco, V.; Fusco, N.
3
2010
The sharp Sobolev inequality in quantitative form. Zbl 1185.46025
Cianchi, A.; Fusco, N.; Maggi, F.; Pratelli, A.
47
2009
Stability estimates for certain Faber-Krahn, isocapacitary and Cheeger inequalities. Zbl 1176.49047
Fusco, Nicola; Maggi, Francesco; Pratelli, Aldo
34
2009
A note on the convex hull of sets of finite perimeter in the plane. Zbl 1158.49044
Ferriero, Alessandro; Fusco, Nicola
6
2009
Sharp upper bounds for the density of some invariant measures. Zbl 1206.47038
Fornaro, Simona; Fusco, Nicola; Metafune, Giorgio; Pallara, Diego
3
2009
The sharp quantitative isoperimetric inequality. Zbl 1187.52009
Fusco, Nicola; Maggi, Francesco; Pratelli, Aldo
120
2008
The limit of \(W^{1,1}\) homeomorphisms with finite distortion. Zbl 1157.30016
Fusco, N.; Moscariello, G.; Sbordone, C.
18
2008
A quantitative Pólya-Szegő principle. Zbl 1175.46021
Cianchi, Andrea; Esposito, Luca; Fusco, Nicola; Trombetti, Cristina
16
2008
Lower semicontinuity and relaxation results in BV for integral functionals with BV integrands. Zbl 1149.49016
Amar, Micol; De Cicco, Virginia; Fusco, Nicola
10
2008
Geometrical aspects of symmetrization. Zbl 1228.46029
Fusco, Nicola
1
2008
Equilibrium configurations of epitaxially strained crystalline films: Existence and regularity results. Zbl 1126.74029
Fonseca, I.; Fusco, N.; Leoni, G.; Morini, M.
27
2007
The sharp quantitative Sobolev inequality for functions of bounded variation. Zbl 1121.46029
Fusco, N.; Maggi, F.; Pratelli, A.
23
2007
A chain rule formula in \(BV\) and application to lower semicontinuity. Zbl 1136.49011
De Cicco, Virginia; Fusco, Nicola; Verde, Anna
13
2007
A relaxation result in BV for integral functionals with discontinuous integrands. Zbl 1330.49008
Amar, Micol; De Cicco, Virginia; Fusco, Nicola
12
2007
Steiner symmetric extremals in Pólya-Szegő-type inequalities. Zbl 1110.46021
Cianchi, Andrea; Fusco, Nicola
25
2006
A remark on Serrin’s theorem. Zbl 1215.49024
Fusco, Nicola; Gori, Michele; Maggi, Francesco
10
2006
Minimal rearrangements, strict convexity and critical points. Zbl 1104.46016
Cianchi, Andrea; Fusco, Nicola
6
2006
A lower semi-continuity result for polyconvex functionals in SBV. Zbl 1125.49007
Fusco, Nicola; Leone, Chiara; Verde, Anna; March, Riccardo
5
2006
Dirichlet integrals and Steiner asymmetry. Zbl 1124.46017
Cianchi, Andrea; Fusco, Nicola
4
2006
The perimeter inequality under Steiner symmetrization: cases of equality. Zbl 1087.28003
Chlebík, Miroslav; Cianchi, Andrea; Fusco, Nicola
33
2005
A quantitative version of the isoperimetric inequality: the anisotropic case. Zbl 1170.52300
Fusco, Nicola; Esposito, Luca; Trombetti, Cristina
25
2005
On \(L^1\)-lower semicontinuity in \(BV\). Zbl 1115.49011
De Cicco, Virginia; Fusco, Nicola; Verde, Anna
24
2005
Topological degree, Jacobian determinants and relaxation. Zbl 1177.49066
Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo
6
2005
The classical isoperimetric theorem. Zbl 1096.49024
Fusco, Nicola
15
2004
On the total variation of the Jacobian. Zbl 1041.49016
Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo
7
2004
Strict monotonicity of functionals under Steiner symmetrization. Zbl 1114.49040
Cianchi, Andrea; Fusco, Nicola
3
2004
On the solvability of the equation \( \text{div} \, u=f\) in \(L^1\) and in \(C^0\). Zbl 1225.35050
Dacorogna, Bernard; Fusco, Nicola; Tartar, Luc
9
2003
Higher integrability of the gradient and dimension of the singular set for minimisers of the Mumford-Shah functional. Zbl 1047.49015
Ambrosio, Luigi; Fusco, Nicola; Hutchinson, John E.
8
2003
An overview of the Mumford-Shah problem. Zbl 1226.49014
Fusco, Nicola
6
2003
A remark on the \(L^1\)-lower semicontinuity for integral functionals in BV. Zbl 1030.49014
Fusco, Nicola; Giannetti, Flavia; Verde, Anna
5
2003
An existence result for a nonconvex variational problem via regularity. Zbl 1044.49011
Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo
37
2002
Functions of bounded variation and rearrangements. Zbl 1028.49035
Cianchi, Andrea; Fusco, Nicola
36
2002
Regularity of minimizers for a class of anisotropic free discontinuity problems. Zbl 1011.49025
Fusco, Nicola; Mingione, Giuseppe; Trombetti, Cristina
9
2001
Functions of bounded variation and free discontinuity problems. Zbl 0957.49001
Ambrosio, Luigi; Fusco, Nicola; Pallara, Diego
2000
Hölder continuity of local minimizers. Zbl 0949.49022
Cupini, Giovanni; Fusco, Nicola; Petti, Raffaella
27
1999
Gradient regularity for minimizers under general growth conditions. Zbl 0913.49024
Cianchi, Andrea; Fusco, Nicola
27
1999
Higher regularity of solutions of free discontinuity problems. Zbl 1007.49025
Ambrosio, Luigi; Fusco, Nicola; Pallara, Diego
4
1999
Regularity of minimizing sequences for functionals of the calculus of variations via the Ekeland principle. Zbl 1007.49024
Boccardo, Lucio; Ferone, Vincenzo; Fusco, Nicola; Orsina, Luigi
4
1999
Partial regularity of minimizers of quasiconvex integrals with subquadratic growth. Zbl 0960.49025
Carozza, Menita; Fusco, Nicola; Mingione, Giuseppe
64
1998
Existence of minimizers for some non convex one-dimensional integrals. Zbl 0912.49015
Fusco, N.; Marcellini, P.; Ornelas, A.
13
1998
Regularity results for anisotropic image segmentation models. Zbl 0899.49018
Fonseca, Irene; Fusco, Nicola
42
1997
Partial regularity of free discontinuity sets. II. Zbl 0896.49024
Ambrosio, Luigi; Fusco, Nicola; Pallara, Diego
26
1997
VMO solution of the \(N\)-Laplacian with measure data. Zbl 0883.35047
Ferone, Vincenzo; Fusco, Nicola
5
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
Sobolev imbedding theorems in borderline cases. Zbl 0841.46023
Fusco, Nicola; Lions, Pierre Louis; Sbordone, Carlo
52
1996
Continuity properties of minimizers of integral functionals in a limit case. Zbl 0865.49008
Ferone, Vincenzo; Fusco, Nicola
8
1996
\(C^{0, \alpha}\) regularity of \(\omega\)-minima. Zbl 0866.49020
Dolcini, A.; Esposito, L.; Fusco, N.
4
1996
A direct proof for lower semicontinuity of polyconvex functionals. Zbl 0874.49015
Fusco, Nicola; Hutchinson, John E.
23
1995
Partial regularity under anisotropic \((p,q)\) growth conditions. Zbl 0807.49010
Acerbi, Emilio; Fusco, Nicola
65
1994
A transmission problem in the calculus of variations. Zbl 0791.49041
Acerbi, E.; Fusco, N.
32
1994
Partial regularity and everywhere continuity for a model problem from nonlinear elasticity. Zbl 0864.35032
Fusco, Nicola; Hutchinson, John E.
10
1994
Some remarks on the regularity of minima of anisotropic integrals. Zbl 0795.49025
Fusco, Nicola; Sbordone, Carlo
71
1993
Integrability for the Jacobian of orientation preserving mappings. Zbl 0847.26012
Brézis, Haïm; Fusco, Nicola; Sbordone, Carlo
28
1993
Partial regularity in problems motivated by nonlinear elasticity. Zbl 0744.35014
Fusco, Nicola; Hutchinson, J.
14
1991
Higher integrability of the gradient of minimizers of functionals with nonstandard growth conditions. Zbl 0727.49021
Fusco, Nicola; Sbordone, Carlo
55
1990
Local boundedness of minimizers in a limit case. Zbl 0722.49012
Fusco, Nicola; Sbordone, Carlo
36
1990
Regularity for minimizers of non-quadratic functionals: The case \(1<p<2\). Zbl 0686.49004
Acerbi, E.; Fusco, N.
139
1989
Partial regularity for minimisers of certain functionals having nonquadratic growth. Zbl 0698.49001
Fusco, Nicola; Hutchinson, John
43
1989
Local regularity for minimizers of non convex integrals. Zbl 0829.49025
Acerbi, E.; Fusco, N.
13
1989
\(W^{2,p}\) regularity for the solutions of elliptic non-divergence form equations with rough coefficients. Zbl 0751.35007
Franciosi, M.; Fusco, N.
3
1989
Higher integrability of the gradient of minima of certain functionals. Zbl 1145.49300
Fusco, Nicola; Sbordone, Carlo
2
1989
Higher integrability from reverse Jensen inequalities with different supports. Zbl 0691.49009
Fusco, Nicola; Sbordone, Carlo
2
1989
An approximation lemma for \(W^{1,p}\) functions. Zbl 0644.46026
Acerbi, Emilio; Fusco, Nicola
31
1988
...and 15 more Documents
all top 5

Cited by 2,234 Authors

58 Fusco, Nicola
48 Ambrosio, Luigi
39 Cianchi, Andrea
39 Novaga, Matteo
38 Fonseca, Irene
37 Mingione, Giuseppe
36 Fuchs, Martin
35 Passarelli di Napoli, Antonia
31 Caselles Costa, Vicent
31 Figalli, Alessio
30 Chambolle, Antonin
30 Conti, Sergio
30 Leonetti, Francesco
28 Mazón Ruiz, José M.
26 Pratelli, Aldo
25 Giacomini, Alessandro
25 Lahti, Panu
25 Marcellini, Paolo
24 Braides, Andrea
24 Maggi, Francesco
23 Bellettini, Giovanni
23 Bildhauer, Michael
23 Kristensen, Jan
21 De Philippis, Guido
21 Leoni, Giovanni
21 Morini, Massimiliano
21 Verde, Anna
20 Bucur, Dorin
20 Sbordone, Carlo
19 Francfort, Gilles A.
18 Bögelein, Verena
18 De Cicco, Virginia
18 Duzaar, Frank
18 Focardi, Matteo
18 Mascolo, Elvira
18 Zhang, Kewei
17 Dal Maso, Gianni
17 De Lellis, Camillo
16 Carozza, Menita
15 Acerbi, Emilio
15 Andreu, Fuensanta
15 Brasco, Lorenzo
15 Cupini, Giovanni
15 Giannetti, Flavia
15 Müller, Stefan
15 Rindler, Filip
14 Ponsiglione, Marcello
14 Trombetti, Cristina
14 Yan, Baisheng
14 Zappale, Elvira
13 Bianchini, Stefano
13 Fragalà, Ilaria
13 Friedrich, Manuel
13 Hencl, Stanislav
13 Moll, Salvador
13 Moscariello, Gioconda
13 Omari, Pierpaolo
12 Babadjian, Jean-François
12 Breit, Dominic
12 Crismale, Vito
12 Diening, Lars
12 Goldman, Michael
12 Schiattarella, Roberta
12 Schönlieb, Carola-Bibiane
12 Villa, Elena
11 Amar, Micol
11 Cicalese, Marco
11 Colombo, Maria
11 Leonardi, Gian Paolo
11 Mucci, Domenico
11 Muratov, Cyrill B.
11 Pallara, Diego
11 Poliakovsky, Arkady
11 Savaré, Giuseppe
11 Schmidt, Thomas
11 Segura de León, Sergio
11 Shanmugalingam, Nageswari
11 Solombrino, Francesco
11 Stefanelli, Ulisse
11 Stroffolini, Bianca
11 Sychev, Mikhail A.
11 Tomarelli, Franco
10 Alberico, Angela
10 Barchiesi, Marco
10 Bredies, Kristian
10 Černý, Robert
10 Esposito, Luca
10 Julin, Vesa
10 Kružík, Martin
10 Leaci, Antonio
10 Millot, Vincent
10 Miranda, Michele jun.
10 Mora, Maria Giovanna
10 Rossi, Julio Daniel
10 Scheven, Christoph
10 Valdinoci, Enrico
10 Valkonen, Tuomo
9 Bressan, Alberto
9 Dacorogna, Bernard
9 D’Onofrio, Luigi
...and 2,134 more Authors
all top 5

Cited in 286 Serials

191 Calculus of Variations and Partial Differential Equations
180 Archive for Rational Mechanics and Analysis
140 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
101 Journal of Mathematical Analysis and Applications
99 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
89 Journal of Differential Equations
83 Journal of Functional Analysis
80 Annali di Matematica Pura ed Applicata. Serie Quarta
80 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
63 Journal de Mathématiques Pures et Appliquées. Neuvième Série
56 SIAM Journal on Mathematical Analysis
44 Manuscripta Mathematica
37 Journal of Mathematical Sciences (New York)
36 The Journal of Geometric Analysis
35 NoDEA. Nonlinear Differential Equations and Applications
33 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
30 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
29 Advances in Calculus of Variations
28 Transactions of the American Mathematical Society
24 Journal of Mathematical Imaging and Vision
23 Advances in Mathematics
23 Proceedings of the American Mathematical Society
21 Mathematische Annalen
21 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
21 Journal of the European Mathematical Society (JEMS)
21 Comptes Rendus. Mathématique. Académie des Sciences, Paris
21 SIAM Journal on Imaging Sciences
20 Communications in Partial Differential Equations
20 Communications in Contemporary Mathematics
20 Nonlinear Analysis. Theory, Methods & Applications
19 Discrete and Continuous Dynamical Systems
18 Communications in Mathematical Physics
18 Discrete and Continuous Dynamical Systems. Series S
17 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
16 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
16 Journal of Elasticity
15 Applicable Analysis
15 Applied Mathematics and Optimization
15 Rendiconti del Seminario Matematico della Università di Padova
14 Journal of the Mechanics and Physics of Solids
14 SIAM Journal on Control and Optimization
14 Interfaces and Free Boundaries
14 Communications on Pure and Applied Analysis
13 Communications on Pure and Applied Mathematics
13 Journal für die Reine und Angewandte Mathematik
13 Revista Matemática Iberoamericana
12 Zeitschrift für Analysis und ihre Anwendungen
12 Forum Mathematicum
12 Journal of Nonlinear Science
12 Nonlinear Analysis. Real World Applications
12 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
12 Analysis and Geometry in Metric Spaces
11 Mathematical Methods in the Applied Sciences
11 Potential Analysis
11 Inverse Problems and Imaging
10 Inventiones Mathematicae
10 Ricerche di Matematica
10 Journal of Elliptic and Parabolic Equations
9 Journal d’Analyse Mathématique
9 Journal of Optimization Theory and Applications
9 Mathematische Nachrichten
9 Mathematische Zeitschrift
9 Continuum Mechanics and Thermodynamics
9 Journal of Convex Analysis
9 Journal of Inequalities and Applications
8 Geometric and Functional Analysis. GAFA
8 SIAM Journal on Applied Mathematics
8 Revista Matemática Complutense
8 Journal of Evolution Equations
8 Milan Journal of Mathematics
8 Advances in Nonlinear Analysis
7 Journal of Mathematical Physics
7 Archiv der Mathematik
7 Numerische Mathematik
7 Chinese Annals of Mathematics. Series B
7 Journal of Scientific Computing
7 Mathematics and Mechanics of Solids
7 Geometric Flows
6 Computer Methods in Applied Mechanics and Engineering
6 Israel Journal of Mathematics
6 Czechoslovak Mathematical Journal
6 Duke Mathematical Journal
6 Indiana University Mathematics Journal
6 Numerical Functional Analysis and Optimization
6 Quarterly of Applied Mathematics
6 Probability Theory and Related Fields
6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
6 Doklady Mathematics
6 Acta Mathematica Sinica. English Series
6 Networks and Heterogeneous Media
5 Nonlinearity
5 The Annals of Probability
5 Acta Applicandae Mathematicae
5 Physica D
5 St. Petersburg Mathematical Journal
5 Bulletin des Sciences Mathématiques
5 Journal of Mathematical Fluid Mechanics
5 Advanced Nonlinear Studies
5 Complex Variables and Elliptic Equations
4 Inverse Problems
...and 186 more Serials
all top 5

Cited in 56 Fields

1,282 Calculus of variations and optimal control; optimization (49-XX)
1,184 Partial differential equations (35-XX)
387 Mechanics of deformable solids (74-XX)
325 Real functions (26-XX)
299 Functional analysis (46-XX)
155 Numerical analysis (65-XX)
145 Measure and integration (28-XX)
136 Differential geometry (53-XX)
133 Information and communication theory, circuits (94-XX)
111 Operator theory (47-XX)
107 Probability theory and stochastic processes (60-XX)
103 Global analysis, analysis on manifolds (58-XX)
101 Computer science (68-XX)
97 Statistical mechanics, structure of matter (82-XX)
96 Convex and discrete geometry (52-XX)
92 Fluid mechanics (76-XX)
61 Functions of a complex variable (30-XX)
55 Ordinary differential equations (34-XX)
50 Operations research, mathematical programming (90-XX)
48 Harmonic analysis on Euclidean spaces (42-XX)
46 Biology and other natural sciences (92-XX)
40 Potential theory (31-XX)
32 Dynamical systems and ergodic theory (37-XX)
25 Systems theory; control (93-XX)
21 Mechanics of particles and systems (70-XX)
20 Integral equations (45-XX)
20 Statistics (62-XX)
14 Geometry (51-XX)
14 General topology (54-XX)
14 Optics, electromagnetic theory (78-XX)
13 Topological groups, Lie groups (22-XX)
12 Approximations and expansions (41-XX)
12 Quantum theory (81-XX)
11 Classical thermodynamics, heat transfer (80-XX)
10 Difference and functional equations (39-XX)
9 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Several complex variables and analytic spaces (32-XX)
6 History and biography (01-XX)
6 Combinatorics (05-XX)
6 Algebraic topology (55-XX)
5 Abstract harmonic analysis (43-XX)
5 Integral transforms, operational calculus (44-XX)
5 Geophysics (86-XX)
4 Manifolds and cell complexes (57-XX)
4 Relativity and gravitational theory (83-XX)
3 General and overarching topics; collections (00-XX)
3 Algebraic geometry (14-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Group theory and generalizations (20-XX)
2 Special functions (33-XX)
2 Astronomy and astrophysics (85-XX)
1 Number theory (11-XX)
1 Field theory and polynomials (12-XX)
1 Nonassociative rings and algebras (17-XX)
1 Sequences, series, summability (40-XX)
1 Mathematics education (97-XX)

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