L. Ambrosio, N. Fusco, D. Pallara:
Partial Regularity of Free Discontinuity Sets II
Annali della Scuola Normale Superiore di Pisa 1997
M. Carozza, N. Fusco, G. Mingione:
Partial regularity of minimizers of quasiconvex integrals with subquadratic growth
Ann. Mat. Pura Appl. Vol. 175, p. 141-164 , 1998
L. Ambrosio, N. Fusco, D. Pallara:
Higher Regularity of Solutions of Free Discontinuity Problems
Diff. Int. Eqs. 1999
G. Cupini, N. Fusco, R. Petti:
Hölder continuity of local minimizers
J. Math. Anal. Appl. Vol. 235, N. 2, p. 578-597, 1999
N. Fusco, G. Mingione, C. Trombetti:
Regularity of minimizers for a class of anisotropic free discontinuity problems
J. Convex Anal. Vol. 8, p. 349-367, 2001
M. Chlebik, A. Cianchi, N. Fusco:
The perimeter inequality for Steiner symmetrization: cases of equality
(Submitted Paper) 2002
I. Fonseca, N. Fusco, P. Marcellini:
On the total variation of the Jacobian
(Preprint) 2002
N. Fusco, M. Gori, F. Maggi:
A remark on Serrin's Theorem
Nonlinear Differential Equations and Applications (Accepted Paper) 2003
A. Cianchi, N. Fusco:
Steiner symmetric extremals in Polya-Szego type inequalities
(Preprint) 2003
A. Cianchi, N. Fusco:
Dirichlet integrals and asymmetry
(Submitted Paper) 2004
A. Cianchi, N. Fusco:
Minimal rearrangements, strict convexity and critical points
(Submitted Paper) 2004
L. Esposito, N. Fusco, C. Trombetti:
A quantitative version of the isoperimetric inequality: the anisotropic case
(Submitted Paper) 2004
V. De Cicco, N. Fusco, A. Verde:
On L^1 lower semicontinuity in BV
(J. of Convex Analysis) 2005
V. De Cicco, N. Fusco, A. Verde:
A chain rule formula in BV and application to lower semicontinuity
(Calc.Var. Partial Differential Equations) 2005
N. Fusco, F. Maggi, A. Pratelli:
The sharp quantitative isoperimetric inequality
Ann. of Math. (2) 2006
N. Fusco, C. Leone, R. March, A. Verde:
A lower semicontinuity result for polyconvex functionals in SBV
Proc. Royal Soc. of Edinburgh Vol. 136, N. 2, p. 321-336, 2006
N. Fusco, F. Maggi, A. Pratelli:
The sharp quantitative Sobolev inequality for functions of bounded variation
J. Funct. Anal. 2006
A. Cianchi, L. Esposito, N. Fusco, C. Trombetti:
A quntitative Polya-Szego principle
(Preprint) 2006
I. Fonseca, N. Fusco, G. Leoni, M. Morini:
Equilibrium configurations of epitaxially strained crystalline films: existence and regularity results
Arch. Ration. Mech. Anal. Vol. 186, N. 3, p. 477-537, 2007
A. Cianchi, N. Fusco, F. Maggi, A. Pratelli:
The sharp Sobolev inequality in quantitative form
Journal of the European Mathematical Society 2007
N. Fusco, F. Maggi, A. Pratelli:
Stability estimates for certain Faber-Krahn, isocapacitary and Cheeger inequalities
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 2007
N. Fusco, G. Moscariello, C. Sbordone:
The limit of $W^{1,1}$ homeomorphisms with finite distortion
(Submitted Paper) 2007
M. Amar, V. De Cicco, N. Fusco:
A Relaxation result in BV for integral functionals with discontinuous integrands
ESAIM COCV Vol. 13, N. 2, p. 396-412, 2007
L. Esposito, N. Fusco:
A remark on a free interface problem with volume constraint
(Submitted Paper) 2008
M. Amar, V. De Cicco, N. Fusco:
Lower semicontinuity and relaxation results in BV for integral functionals with BV integrands
ESAIM COCV Vol. 14, p. 456-477, 2008
A. Cianchi, N. Fusco, F. Maggi, A. Pratelli:
On the isoperimetric deficit in the Gauss space
American Journal of Mathematics (Accepted Paper) 2008
S. Fornaro, N. Fusco, G. Metafune, D. Pallara:
Sharp upper bounds for the density of some invariant measures
Proc. Roy. Soc. Edinburgh Vol. 139A, 2009
N. Fusco, M. Morini:
Equilibrium configurations of epitaxially strained elastic films: second order minimality conditions and qualitative properties of solutions
Arch. Ration. Mech. Anal. (Accepted Paper) 2009
A. Ferriero, N. Fusco:
A note on sets of finite perimeter in the plane
Discrete Cont. Dyn. Syst. Ser. B 2009
N. Fusco, V. Millot, M. Morini:
A quantitative isoperimetric inequality for fractional perimeters
(Submitted Paper) 2010
M. Amar, V. De Cicco, N. Fusco:
Lower semicontinuity results for free discontinuity energies
M3AS 2010
N. Fusco, A. Pratelli:
On a conjecture by Auerbach
JEMS 2010
N. Fusco, F. Maggi, A. Pratelli:
On the isoperimetric problem with respect to a mixed Euclidean-Gaussian density
Journal of Functional Analysis 2010
E. Acerbi, N. Fusco, M. Morini:
Minimality via second variation for a nonlocal isoperimetric problem
Communications in Mathematical Physics (Accepted Paper) 2011
B. De Maria, N. Fusco:
Regularity properties of equilibrium configurations of epitaxially strained elastic films
(Submitted Paper) 2011
N. Fusco, M. S. Gelli, G. Pisante:
On a Bonnesen type inequality involving the spherical deviation
(Preprint) 2011
N. Fusco, V. Julin:
A strong form of the quantitative isoperimetric inequality
(Submitted Paper) 2011
I. Fonseca, N. Fusco, G. Leoni, M. Morini:
Motion of elastic thin films by anisotropic surface diffusion with curvature regularization
Archive for Rational Mechanics and Analysis Vol. 205, p. 425466, 2011
I. Fonseca, N. Fusco, G. Leoni, V. Millot:
Material voids in elastic solids with anisotropic surface energies
Journal de mathematiques pures et appliquees Vol. 96, p. 591-639, 2011
V. Bögelein, F. Duzaar, N. Fusco:
A sharp quantitative isoperimetric inequality in higher codimension
(Submitted Paper) 2012
V. Bögelein, F. Duzaar, N. Fusco:
A quantitative isoperimetric inequality on the sphere
(Preprint) 2013
M. Barchiesi, F. Cagnetti, N. Fusco:
Stability of the Steiner symmetrization of convex sets
J. Eur. Math. Soc. Vol. 15, p. 1245-1278, 2013
I. Fonseca, N. Fusco, G. Leoni, M. Morini:
Motion of Three-Dimensional Elastic Films by Anisotropic Surface Diffusion with Curvature Regularization
(Submitted Paper) 2014
N. Fusco, V. Julin:
On the regularity of critical and minimal sets of a free interface problem
(Submitted Paper) 2014
A. Figalli, N. Fusco, F. Maggi, V. Millot, M. Morini:
Isoperimetry and stability properties of balls with respect to nonlocal energies
Comm. Math. Phys. (Accepted Paper) 2014
M. Focardi, N. Fusco, C. Leone, P. Marcellini, E. Mascolo, A. Verde:
Weak lower semicontinuity for polyconvex integrals in the limit case
Calc. Var. Partial Differential Equations Vol. 51, N. 1-2, p. 171-193, 2014
M. Barchiesi, G. M. Capriani, N. Fusco, G. Pisante:
Stability of Polya-Szego inequality for log-concave functions
J. Funct. Anal. Vol. 267, N. 7, p. 2264--22, 2014
N. Fusco, X. Zhong:
On the Euler-Lagrange equation of a functional by Pólya and Szegö
(Submitted Paper) 2015
N. Fusco, G. Moscariello, C. Sbordone:
A formula for the total variation of SBV functions
(Submitted Paper) 2015
N. Fusco:
The quantitative isoperimetric inequality and related topics
Bull. Math. Sci. (Accepted Paper) 2015
N. Fusco, Y. R. Y. Zhang:
A quantitative form of the Faber-Krahn inequality
(Preprint) 2016
I. Fonseca, N. Fusco, G. Leoni, M. Morini:
A model for dislocations in epitaxially strained elastic films
(Submitted Paper) 2016
G. De Philippis, N. Fusco, A. Pratelli:
On the approximation of SBV functions
(Submitted Paper) 2016
N. Fusco, D. Spector:
A Remark on an Integral Characterization of the Dual of BV
(Preprint) p. 6, 2017
N. Fusco, D. Pallara:
On the isoperimetric profile for a mixed Euclidean-Log-convex measure
(Submitted Paper) 2017
E. Acerbi, N. Fusco, V. Julin, M. Morini:
Nonlinear stability results for the modified Mullins-Sekerka and the surface diffusion flow
Journal of Differential Geometry (Accepted Paper) 2017
M. Cicalese, N. Fusco:
A note on relaxation with constraints on the determinant
(Preprint) 2017
G. Cupini, N. Fusco, E. Lanconelli:
A sharp stability result for the Gauss mean value formula
(Submitted Paper) 2017
N. Fusco, V. Julin, M. Morini:
The surface diffusion flow with elasticity in the plane
(Submitted Paper) 2017