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Author ID: fusco.nicola Recent zbMATH articles by "Fusco, Nicola"
Published as: Fusco, Nicola; Fusco, N.
Homepage: http://wpage.unina.it/nfusco/
External Links: MGP · Wikidata · Google Scholar · GND · IdRef
Documents Indexed: 129 Publications since 1979, including 1 Book
4 Contributions as Editor · 1 Further Contribution
Biographic References: 2 Publications
Co-Authors: 70 Co-Authors with 120 Joint Publications
1,352 Co-Co-Authors
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 The Journal of Geometric Analysis
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 Lecture Notes in Mathematics
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

117 Publications have been cited 4,273 times in 2,987 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
280
1984
Regularity for minimizers of non-quadratic functionals: The case \(1<p<2\). Zbl 0686.49004
Acerbi, E.; Fusco, N.
153
1989
The sharp quantitative isoperimetric inequality. Zbl 1187.52009
Fusco, Nicola; Maggi, Francesco; Pratelli, Aldo
143
2008
Some remarks on the regularity of minima of anisotropic integrals. Zbl 0795.49025
Fusco, Nicola; Sbordone, Carlo
84
1993
Isoperimetry and stability properties of balls with respect to nonlocal energies. Zbl 1312.49051
Figalli, A.; Fusco, N.; Maggi, F.; Millot, V.; Morini, M.
70
2015
Partial regularity under anisotropic \((p,q)\) growth conditions. Zbl 0807.49010
Acerbi, Emilio; Fusco, Nicola
69
1994
Partial regularity of minimizers of quasiconvex integrals with subquadratic growth. Zbl 0960.49025
Carozza, Menita; Fusco, Nicola; Mingione, Giuseppe
67
1998
Minimality via second variation for a nonlocal isoperimetric problem. Zbl 1270.49043
Acerbi, E.; Fusco, N.; Morini, M.
67
2013
Higher integrability of the gradient of minimizers of functionals with nonstandard growth conditions. Zbl 0727.49021
Fusco, Nicola; Sbordone, Carlo
63
1990
A regularity theorem for minimizers of quasiconvex integrals. Zbl 0627.49007
Acerbi, Emilio; Fusco, Nicola
61
1987
The sharp Sobolev inequality in quantitative form. Zbl 1185.46025
Cianchi, A.; Fusco, N.; Maggi, F.; Pratelli, A.
55
2009
Sobolev imbedding theorems in borderline cases. Zbl 0841.46023
Fusco, Nicola; Lions, Pierre Louis; Sbordone, Carlo
55
1996
On the isoperimetric deficit in Gauss space. Zbl 1219.28005
Cianchi, A.; Fusco, N.; Maggi, F.; Pratelli, A.
49
2011
Regularity results for anisotropic image segmentation models. Zbl 0899.49018
Fonseca, Irene; Fusco, Nicola
48
1997
Partial regularity for minimisers of certain functionals having nonquadratic growth. Zbl 0698.49001
Fusco, Nicola; Hutchinson, John
43
1989
An existence result for a nonconvex variational problem via regularity. Zbl 1044.49011
Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo
41
2002
Stability estimates for certain Faber-Krahn, isocapacitary and Cheeger inequalities. Zbl 1176.49047
Fusco, Nicola; Maggi, Francesco; Pratelli, Aldo
40
2009
Functions of bounded variation and rearrangements. Zbl 1028.49035
Cianchi, Andrea; Fusco, Nicola
38
2002
\(C^{1,\alpha}\) partial regularity of functions minimising quasiconvex integrals. Zbl 0587.49005
Fusco, Nicola; Hutchinson, John
37
1986
The perimeter inequality under Steiner symmetrization: cases of equality. Zbl 1087.28003
Chlebík, Miroslav; Cianchi, Andrea; Fusco, Nicola
37
2005
A transmission problem in the calculus of variations. Zbl 0791.49041
Acerbi, E.; Fusco, N.
37
1994
Local boundedness of minimizers in a limit case. Zbl 0722.49012
Fusco, Nicola; Sbordone, Carlo
36
1990
On the homogenization of quasilinear divergence structure operators. Zbl 0636.35027
Fusco, N.; Moscariello, G.
33
1987
Gradient regularity for minimizers under general growth conditions. Zbl 0913.49024
Cianchi, Andrea; Fusco, Nicola
32
1999
Steiner symmetric extremals in Pólya-Szegő-type inequalities. Zbl 1110.46021
Cianchi, Andrea; Fusco, Nicola
30
2006
A quantitative isoperimetric inequality for fractional perimeters. Zbl 1228.46030
Fusco, Nicola; Millot, Vincent; Morini, Massimiliano
29
2011
Equilibrium configurations of epitaxially strained crystalline films: Existence and regularity results. Zbl 1126.74029
Fonseca, I.; Fusco, N.; Leoni, G.; Morini, M.
29
2007
A quantitative version of the isoperimetric inequality: the anisotropic case. Zbl 1170.52300
Fusco, Nicola; Esposito, Luca; Trombetti, Cristina
28
2005
Integrability for the Jacobian of orientation preserving mappings. Zbl 0847.26012
Brézis, Haïm; Fusco, Nicola; Sbordone, Carlo
28
1993
Hölder continuity of local minimizers. Zbl 0949.49022
Cupini, Giovanni; Fusco, Nicola; Petti, Raffaella
27
1999
Partial regularity of free discontinuity sets. II. Zbl 0896.49024
Ambrosio, Luigi; Fusco, Nicola; Pallara, Diego
27
1997
The sharp quantitative Sobolev inequality for functions of bounded variation. Zbl 1121.46029
Fusco, N.; Maggi, F.; Pratelli, A.
27
2007
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
A direct proof for lower semicontinuity of polyconvex functionals. Zbl 0874.49015
Fusco, Nicola; Hutchinson, John E.
22
1995
On \(L^1\)-lower semicontinuity in \(BV\). Zbl 1115.49011
De Cicco, Virginia; Fusco, Nicola; Verde, Anna
22
2005
An approximation lemma for \(W^{1,p}\) functions. Zbl 0644.46026
Acerbi, Emilio; Fusco, Nicola
21
1988
A strong form of the quantitative isoperimetric inequality. Zbl 1296.49041
Fusco, Nicola; Julin, Vesa
19
2014
The quantitative isoperimetric inequality and related topics. Zbl 1327.49076
Fusco, Nicola
19
2015
Partial regularity in problems motivated by nonlinear elasticity. Zbl 0744.35014
Fusco, Nicola; Hutchinson, J.
19
1991
The limit of \(W^{1,1}\) homeomorphisms with finite distortion. Zbl 1157.30016
Fusco, N.; Moscariello, G.; Sbordone, C.
19
2008
A quantitative Pólya-Szegő principle. Zbl 1175.46021
Cianchi, Andrea; Esposito, Luca; Fusco, Nicola; Trombetti, Cristina
19
2008
Stability of the Steiner symmetrization of convex sets. Zbl 1277.52012
Barchiesi, Marco; Cagnetti, Filippo; Fusco, Nicola
18
2013
Existence of minimizers for some non convex one-dimensional integrals. Zbl 0912.49015
Fusco, N.; Marcellini, P.; Ornelas, A.
15
1998
Partial regularity and everywhere continuity for a model problem from nonlinear elasticity. Zbl 0864.35032
Fusco, Nicola; Hutchinson, John E.
15
1994
The classical isoperimetric theorem. Zbl 1096.49024
Fusco, Nicola
15
2004
A chain rule formula in \(BV\) and application to lower semicontinuity. Zbl 1136.49011
De Cicco, Virginia; Fusco, Nicola; Verde, Anna
13
2007
On the isoperimetric problem with respect to a mixed Euclidean-Gaussian density. Zbl 1222.49058
Fusco, N.; Maggi, F.; Pratelli, A.
13
2011
Local regularity for minimizers of non convex integrals. Zbl 0829.49025
Acerbi, E.; Fusco, N.
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
Stability of Pólya-Szegő inequality for log-concave functions. Zbl 1298.26067
Barchiesi, M.; Capriani, G. M.; Fusco, N.; Pisante, G.
12
2014
A remark on a free interface problem with volume constraint. Zbl 1216.49033
Esposito, Luca; Fusco, Nicola
12
2011
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
Semicontinuity and relaxation for integrals depending on vector valued functions. Zbl 0481.49013
Acerbi, Emilio; Buttazzo, Giuseppe; Fusco, Nicola
11
1983
Lower semicontinuity and relaxation results in BV for integral functionals with BV integrands. Zbl 1149.49016
Amar, Micol; De Cicco, Virginia; Fusco, Nicola
11
2008
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
10
1988
A sharp quantitative isoperimetric inequality in higher codimension. Zbl 1320.49030
Bögelein, Verena; Duzaar, Frank; Fusco, Nicola
10
2015
On the approximation of SBV functions. Zbl 1366.26020
de Philippis, Guido; Fusco, Nicola; Pratelli, Aldo
10
2017
A remark on Serrin’s theorem. Zbl 1215.49024
Fusco, Nicola; Gori, Michele; Maggi, Francesco
10
2006
On the convergence of integral functionals depending on vector-valued functions. Zbl 0563.49007
Fusco, Nicola
9
1983
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
\(L^ 2-\)lower semicontinuity of functionals of quadratic type. Zbl 0483.49008
Fusco, Nicola; Moscariello, Gioconda
9
1981
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.
9
2003
An overview of the Mumford-Shah problem. Zbl 1226.49014
Fusco, Nicola
9
2003
BMO-type seminorms and Sobolev functions. Zbl 1410.46021
Fusco, Nicola; Moscariello, Gioconda; Sbordone, Carlo
9
2018
Regularity of minimizers for a class of anisotropic free discontinuity problems. Zbl 1011.49025
Fusco, Nicola; Mingione, Giuseppe; Trombetti, Cristina
9
2001
Continuity properties of minimizers of integral functionals in a limit case. Zbl 0865.49008
Ferone, Vincenzo; Fusco, Nicola
8
1996
A model for dislocations in epitaxially strained elastic films. Zbl 1387.49005
Fonseca, I.; Fusco, N.; Leoni, Giovanni; Morini, Massimiliano
7
2018
Further results on the homogenization of quasilinear operators. Zbl 0658.35016
Fusco, Nicola; Moscariello, Gioconda
7
1986
A formula for the total variation of SBV functions. Zbl 1332.26018
Fusco, N.; Moscariello, G.; Sbordone, C.
7
2016
Quasi-convessita e semicontinuita per integrali multipli di ordine superiore. Zbl 0508.49012
Fusco, Nicola
7
1980
Minimal rearrangements, strict convexity and critical points. Zbl 1104.46016
Cianchi, Andrea; Fusco, Nicola
7
2006
On the total variation of the Jacobian. Zbl 1041.49016
Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo
7
2004
On a Bonnesen type inequality involving the spherical deviation. Zbl 1262.51017
Fusco, Nicola; Gelli, Maria Stella; Pisante, Giovanni
7
2012
On the regularity of critical and minimal sets of a free interface problem. Zbl 1321.49061
Fusco, Nicola; Julin, Vesa
6
2015
A quantitative isoperimetric inequality on the sphere. Zbl 1370.49039
Bögelein, Verena; Duzaar, Frank; Fusco, Nicola
6
2017
\(C^{0, \alpha}\) regularity of \(\omega\)-minima. Zbl 0866.49020
Dolcini, A.; Esposito, L.; Fusco, N.
6
1996
VMO solution of the \(N\)-Laplacian with measure data. Zbl 0883.35047
Ferone, Vincenzo; Fusco, Nicola
6
1997
A note on the convex hull of sets of finite perimeter in the plane. Zbl 1158.49044
Ferriero, Alessandro; Fusco, Nicola
6
2009
Topological degree, Jacobian determinants and relaxation. Zbl 1177.49066
Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo
6
2005
A \(W^{2'2}\) bound for a class of elliptic equations with discontinuous coefficients. Zbl 0524.35034
Franciosi, Michelangelo; Fusco, Nicola
5
1982
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
5
1999
Higher regularity of solutions of free discontinuity problems. Zbl 1007.49025
Ambrosio, Luigi; Fusco, Nicola; Pallara, Diego
5
1999
A remark on the \(L^1\)-lower semicontinuity for integral functionals in BV. Zbl 1030.49014
Fusco, Nicola; Giannetti, Flavia; Verde, Anna
5
2003
The \(\Gamma\)-limit of traveling waves in the FitzHugh-Nagumo system. Zbl 1418.35063
Chen, Chao-Nien; Choi, Yung Sze; Fusco, Nicola
5
2019
A lower semi-continuity result for polyconvex functionals in SBV. Zbl 1125.49007
Fusco, Nicola; Leone, Chiara; Verde, Anna; March, Riccardo
5
2006
Regularity properties of equilibrium configurations of epitaxially strained elastic films. Zbl 1290.74027
de Maria, Bruno; Fusco, Nicola
4
2012
A remark on an integral characterization of the dual of BV. Zbl 1373.26009
Fusco, Nicola; Spector, Daniel
4
2018
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
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
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.
3
2014
The stability of the isoperimetric inequality. Zbl 1432.35008
Fusco, Nicola
3
2017
On the Euler-Lagrange equation of a functional by Pólya and Szegö. Zbl 1346.49069
Fusco, N.; Zhong, X.
3
2016
\(\Gamma\) convergenza unidimensionale. Zbl 0403.49015
Fusco, Nicola
3
1979
\(W^{2,p}\) regularity for the solutions of elliptic non-divergence form equations with rough coefficients. Zbl 0751.35007
Franciosi, M.; Fusco, N.
3
1989
Lower semicontinuity results for free discontinuity energies. Zbl 1211.49014
Amar, M.; de Cicco, V.; Fusco, N.
3
2010
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
Sharp stability for the Riesz potential. Zbl 1473.26036
Fusco, Nicola; Pratelli, Aldo
3
2020
A sharp stability result for the Gauss mean value formula. Zbl 1465.31001
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
5
2019
Nonlinear stability results for the modified Mullins-Sekerka and the surface diffusion flow. Zbl 07104702
Acerbi, E.; Fusco, N.; Julin, V.; Morini, M.
3
2019
A note on relaxation with constraints on the determinant. Zbl 1437.49026
Cicalese, Marco; Fusco, Nicola
3
2019
A variational characterisation of the second eigenvalue of the \(p\)-Laplacian on quasi open sets. Zbl 1423.35288
Fusco, Nicola; Mukherjee, Shirsho; Zhang, Yi Ru-ya
2
2019
BMO-type seminorms and Sobolev functions. Zbl 1410.46021
Fusco, Nicola; Moscariello, Gioconda; Sbordone, Carlo
9
2018
A model for dislocations in epitaxially strained elastic films. Zbl 1387.49005
Fonseca, I.; Fusco, N.; Leoni, Giovanni; Morini, Massimiliano
7
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 1458.35406
Fusco, Nicola; Julin, Vesa; Morini, Massimiliano
3
2018
On the approximation of SBV functions. Zbl 1366.26020
de Philippis, Guido; Fusco, Nicola; Pratelli, Aldo
10
2017
A quantitative isoperimetric inequality on the sphere. Zbl 1370.49039
Bögelein, Verena; Duzaar, Frank; Fusco, Nicola
6
2017
The stability of the isoperimetric inequality. Zbl 1432.35008
Fusco, Nicola
3
2017
A quantitative form of Faber-Krahn inequality. Zbl 06798273
Fusco, Nicola; Zhang, Yi Ru-Ya
3
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.
3
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.
70
2015
The quantitative isoperimetric inequality and related topics. Zbl 1327.49076
Fusco, Nicola
19
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
19
2014
Stability of Pólya-Szegő inequality for log-concave functions. Zbl 1298.26067
Barchiesi, M.; Capriani, G. M.; Fusco, N.; Pisante, G.
12
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.
3
2014
Minimality via second variation for a nonlocal isoperimetric problem. Zbl 1270.49043
Acerbi, E.; Fusco, N.; Morini, M.
67
2013
Stability of the Steiner symmetrization of convex sets. Zbl 1277.52012
Barchiesi, Marco; Cagnetti, Filippo; Fusco, Nicola
18
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.
49
2011
A quantitative isoperimetric inequality for fractional perimeters. Zbl 1228.46030
Fusco, Nicola; Millot, Vincent; Morini, Massimiliano
29
2011
On the isoperimetric problem with respect to a mixed Euclidean-Gaussian density. Zbl 1222.49058
Fusco, N.; Maggi, F.; Pratelli, A.
13
2011
A remark on a free interface problem with volume constraint. Zbl 1216.49033
Esposito, Luca; Fusco, Nicola
12
2011
Material voids in elastic solids with anisotropic surface energies. Zbl 1285.74003
Fonseca, Irene; Fusco, Nicola; Leoni, Giovanni; Millot, Vincent
12
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.
55
2009
Stability estimates for certain Faber-Krahn, isocapacitary and Cheeger inequalities. Zbl 1176.49047
Fusco, Nicola; Maggi, Francesco; Pratelli, Aldo
40
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
143
2008
The limit of \(W^{1,1}\) homeomorphisms with finite distortion. Zbl 1157.30016
Fusco, N.; Moscariello, G.; Sbordone, C.
19
2008
A quantitative Pólya-Szegő principle. Zbl 1175.46021
Cianchi, Andrea; Esposito, Luca; Fusco, Nicola; Trombetti, Cristina
19
2008
Lower semicontinuity and relaxation results in BV for integral functionals with BV integrands. Zbl 1149.49016
Amar, Micol; De Cicco, Virginia; Fusco, Nicola
11
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.
29
2007
The sharp quantitative Sobolev inequality for functions of bounded variation. Zbl 1121.46029
Fusco, N.; Maggi, F.; Pratelli, A.
27
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
30
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
7
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
37
2005
A quantitative version of the isoperimetric inequality: the anisotropic case. Zbl 1170.52300
Fusco, Nicola; Esposito, Luca; Trombetti, Cristina
28
2005
On \(L^1\)-lower semicontinuity in \(BV\). Zbl 1115.49011
De Cicco, Virginia; Fusco, Nicola; Verde, Anna
22
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.
9
2003
An overview of the Mumford-Shah problem. Zbl 1226.49014
Fusco, Nicola
9
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
41
2002
Functions of bounded variation and rearrangements. Zbl 1028.49035
Cianchi, Andrea; Fusco, Nicola
38
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
Gradient regularity for minimizers under general growth conditions. Zbl 0913.49024
Cianchi, Andrea; Fusco, Nicola
32
1999
Hölder continuity of local minimizers. Zbl 0949.49022
Cupini, Giovanni; Fusco, Nicola; Petti, Raffaella
27
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
5
1999
Higher regularity of solutions of free discontinuity problems. Zbl 1007.49025
Ambrosio, Luigi; Fusco, Nicola; Pallara, Diego
5
1999
Partial regularity of minimizers of quasiconvex integrals with subquadratic growth. Zbl 0960.49025
Carozza, Menita; Fusco, Nicola; Mingione, Giuseppe
67
1998
Existence of minimizers for some non convex one-dimensional integrals. Zbl 0912.49015
Fusco, N.; Marcellini, P.; Ornelas, A.
15
1998
Regularity results for anisotropic image segmentation models. Zbl 0899.49018
Fonseca, Irene; Fusco, Nicola
48
1997
Partial regularity of free discontinuity sets. II. Zbl 0896.49024
Ambrosio, Luigi; Fusco, Nicola; Pallara, Diego
27
1997
VMO solution of the \(N\)-Laplacian with measure data. Zbl 0883.35047
Ferone, Vincenzo; Fusco, Nicola
6
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
55
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.
6
1996
A direct proof for lower semicontinuity of polyconvex functionals. Zbl 0874.49015
Fusco, Nicola; Hutchinson, John E.
22
1995
Partial regularity under anisotropic \((p,q)\) growth conditions. Zbl 0807.49010
Acerbi, Emilio; Fusco, Nicola
69
1994
A transmission problem in the calculus of variations. Zbl 0791.49041
Acerbi, E.; Fusco, N.
37
1994
Partial regularity and everywhere continuity for a model problem from nonlinear elasticity. Zbl 0864.35032
Fusco, Nicola; Hutchinson, John E.
15
1994
Some remarks on the regularity of minima of anisotropic integrals. Zbl 0795.49025
Fusco, Nicola; Sbordone, Carlo
84
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.
19
1991
Higher integrability of the gradient of minimizers of functionals with nonstandard growth conditions. Zbl 0727.49021
Fusco, Nicola; Sbordone, Carlo
63
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.
153
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 from reverse Jensen inequalities with different supports. Zbl 0691.49009
Fusco, Nicola; Sbordone, Carlo
2
1989
...and 17 more Documents
all top 5

Cited by 2,404 Authors

59 Fusco, Nicola
49 Ambrosio, Luigi
46 Novaga, Matteo
43 Cianchi, Andrea
38 Fuchs, Martin
38 Leonetti, Francesco
37 Fonseca, Irene
37 Mingione, Giuseppe
36 Passarelli di Napoli, Antonia
35 Chambolle, Antonin
34 Conti, Sergio
31 Figalli, Alessio
30 Caselles Costa, Vicent
30 Mazón Ruiz, José M.
29 Lahti, Panu
28 Marcellini, Paolo
28 Pratelli, Aldo
27 Braides, Andrea
25 Bildhauer, Michael
25 De Philippis, Guido
24 Bellettini, Giovanni
24 Giacomini, Alessandro
24 Kristensen, Jan
23 Bucur, Dorin
23 Maggi, Francesco
22 Morini, Massimiliano
21 Bögelein, Verena
21 Sbordone, Carlo
21 Verde, Anna
21 Zhang, Kewei
20 Duzaar, Frank
20 Focardi, Matteo
20 Leoni, Giovanni
19 De Lellis, Camillo
19 Francfort, Gilles A.
19 Mascolo, Elvira
18 Carozza, Menita
17 Dal Maso, Gianni
17 De Cicco, Virginia
16 Acerbi, Emilio
16 Breit, Dominic
16 Cupini, Giovanni
16 Müller, Stefan
16 Ponsiglione, Marcello
15 Brasco, Lorenzo
15 Giannetti, Flavia
15 Goldman, Michael
15 Hencl, Stanislav
15 Moscariello, Gioconda
15 Rindler, Filip
15 Trombetti, Cristina
14 Andreu, Fuensanta
14 Bianchini, Stefano
14 Crismale, Vito
14 Diening, Lars
14 Fragalà, Ilaria
14 Moll, Salvador
14 Mucci, Domenico
14 Segura de León, Sergio
14 Villa, Elena
13 Cicalese, Marco
13 Friedrich, Manuel
13 Miranda, Michele jun.
13 Omari, Pierpaolo
13 Pallara, Diego
13 Ruffini, Berardo
13 Schiattarella, Roberta
13 Yan, Baisheng
13 Zappale, Elvira
12 Babadjian, Jean-François
12 Julin, Vesa
12 Leonardi, Gian Paolo
12 Muratov, Cyrill B.
12 Scheven, Christoph
12 Schönlieb, Carola-Bibiane
12 Shanmugalingam, Nageswari
12 Valdinoci, Enrico
11 Alberico, Angela
11 Amar, Micol
11 Bredies, Kristian
11 Colombo, Maria
11 Esposito, Luca
11 Hintermüller, Michael
11 Kružík, Martin
11 Malý, Jan
11 Millot, Vincent
11 Poliakovsky, Arkady
11 Savaré, Giuseppe
11 Schmidt, Thomas
11 Solombrino, Francesco
11 Stefanelli, Ulisse
11 Stroffolini, Bianca
11 Sychev, Mikhail A.
10 Barchiesi, Marco
10 Bressan, Alberto
10 Buttazzo, Giuseppe
10 Byun, Sun-Sig
10 Černý, Robert
10 Cristoferi, Riccardo
10 D’Onofrio, Luigi
...and 2,304 more Authors
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Cited in 313 Serials

217 Calculus of Variations and Partial Differential Equations
190 Archive for Rational Mechanics and Analysis
154 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
116 Journal of Mathematical Analysis and Applications
112 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
96 Journal of Differential Equations
84 Journal of Functional Analysis
83 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
82 Annali di Matematica Pura ed Applicata. Serie Quarta
63 Journal de Mathématiques Pures et Appliquées. Neuvième Série
61 SIAM Journal on Mathematical Analysis
44 Manuscripta Mathematica
41 The Journal of Geometric Analysis
38 Journal of Mathematical Sciences (New York)
36 NoDEA. Nonlinear Differential Equations and Applications
36 Advances in Calculus of Variations
34 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
33 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
30 Transactions of the American Mathematical Society
30 Journal of Mathematical Imaging and Vision
27 Advances in Mathematics
27 Proceedings of the American Mathematical Society
26 SIAM Journal on Imaging Sciences
23 Communications in Partial Differential Equations
23 Discrete and Continuous Dynamical Systems
23 Journal of the European Mathematical Society (JEMS)
22 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
22 Communications in Contemporary Mathematics
21 Mathematische Annalen
21 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
20 Communications in Mathematical Physics
20 Nonlinear Analysis. Theory, Methods & Applications
19 Comptes Rendus. Mathématique. Académie des Sciences, Paris
19 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
18 Applied Mathematics and Optimization
18 Discrete and Continuous Dynamical Systems. Series S
17 Journal of the Mechanics and Physics of Solids
17 Journal of Nonlinear Science
17 Interfaces and Free Boundaries
16 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
16 SIAM Journal on Control and Optimization
16 Revista Matemática Iberoamericana
16 Journal of Elasticity
16 Communications on Pure and Applied Analysis
15 Applicable Analysis
15 Rendiconti del Seminario Matematico della Università di Padova
15 Journal of Convex Analysis
14 Journal für die Reine und Angewandte Mathematik
13 Communications on Pure and Applied Mathematics
13 Forum Mathematicum
12 Zeitschrift für Analysis und ihre Anwendungen
12 Potential Analysis
12 Nonlinear Analysis. Real World Applications
12 Analysis and Geometry in Metric Spaces
11 Mathematical Methods in the Applied Sciences
11 Indiana University Mathematics Journal
11 Journal of Optimization Theory and Applications
11 Mathematische Zeitschrift
11 Journal of Inequalities and Applications
11 Milan Journal of Mathematics
11 Inverse Problems and Imaging
10 Inventiones Mathematicae
10 Ricerche di Matematica
10 Journal of Evolution Equations
10 Journal of Elliptic and Parabolic Equations
9 Journal d’Analyse Mathématique
9 Nonlinearity
9 Mathematische Nachrichten
9 Continuum Mechanics and Thermodynamics
9 Revista Matemática Complutense
9 Advances in Nonlinear Analysis
8 Geometric and Functional Analysis. GAFA
8 SIAM Journal on Applied Mathematics
7 Inverse Problems
7 Israel Journal of Mathematics
7 Journal of Mathematical Physics
7 Archiv der Mathematik
7 Duke Mathematical Journal
7 Numerische Mathematik
7 Chinese Annals of Mathematics. Series B
7 Acta Applicandae Mathematicae
7 Journal of Scientific Computing
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 Mathematics and Mechanics of Solids
7 Acta Mathematica Sinica. English Series
7 Foundations of Computational Mathematics
7 Boundary Value Problems
7 Geometric Flows
6 Computer Methods in Applied Mechanics and Engineering
6 The Annals of Probability
6 Czechoslovak Mathematical Journal
6 Numerical Functional Analysis and Optimization
6 Quarterly of Applied Mathematics
6 Probability Theory and Related Fields
6 Doklady Mathematics
6 Networks and Heterogeneous Media
6 Science China. Mathematics
5 Mathematics of Computation
5 Annales de l’Institut Fourier
5 Annals of Global Analysis and Geometry
...and 213 more Serials
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Cited in 56 Fields

1,400 Calculus of variations and optimal control; optimization (49-XX)
1,330 Partial differential equations (35-XX)
414 Mechanics of deformable solids (74-XX)
359 Real functions (26-XX)
340 Functional analysis (46-XX)
182 Numerical analysis (65-XX)
165 Measure and integration (28-XX)
165 Differential geometry (53-XX)
150 Information and communication theory, circuits (94-XX)
126 Probability theory and stochastic processes (60-XX)
122 Operator theory (47-XX)
117 Global analysis, analysis on manifolds (58-XX)
110 Convex and discrete geometry (52-XX)
109 Computer science (68-XX)
109 Statistical mechanics, structure of matter (82-XX)
105 Fluid mechanics (76-XX)
69 Functions of a complex variable (30-XX)
64 Ordinary differential equations (34-XX)
59 Biology and other natural sciences (92-XX)
56 Harmonic analysis on Euclidean spaces (42-XX)
56 Operations research, mathematical programming (90-XX)
49 Potential theory (31-XX)
38 Dynamical systems and ergodic theory (37-XX)
27 Systems theory; control (93-XX)
26 Statistics (62-XX)
24 Mechanics of particles and systems (70-XX)
22 Integral equations (45-XX)
17 Topological groups, Lie groups (22-XX)
16 Optics, electromagnetic theory (78-XX)
15 Approximations and expansions (41-XX)
15 General topology (54-XX)
13 Geometry (51-XX)
12 Combinatorics (05-XX)
12 Difference and functional equations (39-XX)
12 Quantum theory (81-XX)
11 Classical thermodynamics, heat transfer (80-XX)
11 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
8 Several complex variables and analytic spaces (32-XX)
7 History and biography (01-XX)
6 Abstract harmonic analysis (43-XX)
6 Algebraic topology (55-XX)
6 Manifolds and cell complexes (57-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Relativity and gravitational theory (83-XX)
5 Geophysics (86-XX)
4 Group theory and generalizations (20-XX)
4 Integral transforms, operational calculus (44-XX)
3 General and overarching topics; collections (00-XX)
3 Algebraic geometry (14-XX)
2 Number theory (11-XX)
2 Special functions (33-XX)
2 Astronomy and astrophysics (85-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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