[fuscon]

Full Professor, Dip. Mat. Univ. Napoli

**Email:** *nfusco AT unina.it*

- N. Fusco - M. Morini (Submitted Paper)

Total positive curvature and the equality case in the relative isoperimetric inequality outside convex domains (2021) - N. Fusco - V. Julin - M. Morini (Submitted Paper)

Stationary sets and asymptotic behavior of the mean curvature flow with forcing in the plane (2020) - D. Carazzato - N. Fusco - A. Pratelli (Preprint)

Minimality of balls in the small volume regime for a general Gamow type functional (2020) - N. Fusco - A. Pratelli (
*COCV*)

Sharp stability for the Riesz potential (2020) - N. Fusco - S. Mukherjee - Y. R. Y. Zhang (
*Proc. London Math. Soc.*)

A variational characterisation of the second eigenvalue of the p-Laplacian on quasi open sets (2019) - G. Cupini - N. Fusco - E. Lanconelli - X. Zhong (Accepted Paper:
*J. Anal. Math.*)

A sharp stability result for the Gauss mean value formula (2019) - F. Farroni - N. Fusco - S. Guarino Lo Bianco - R. Schiattarella (
*J. Funct. Anal.*)

A formula for the anisotropic total variation of SBV functions (2019) - C. N. Chen - Y. S. Choi - N. Fusco (Submitted Paper)

The Γ-limit of traveling waves in FitzHugh-Nagumo systems (2018) - N. Fusco - V. Julin - M. Morini (Submitted Paper)

The surface diffusion flow with elasticity in three dimensions (2018) - N. Fusco - D. Spector (Preprint)

A Remark on an Integral Characterization of the Dual of BV (2017) - E. Acerbi - N. Fusco - V. Julin - M. Morini (Accepted Paper:
*Journal of Differential Geometry*)

Nonlinear stability results for the modified Mullins-Sekerka and the surface diffusion flow (2017) - N. Fusco - V. Julin - M. Morini (Submitted Paper)

The surface diffusion flow with elasticity in the plane (2017) - G. De Philippis - N. Fusco - A. Pratelli (
*Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.*)

On the approximation of SBV functions (2017) - N. Fusco - D. Pallara (
*Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.*)

On the isoperimetric profile for a mixed Euclidean-Log-convex measure (2017) - M. Cicalese - N. Fusco (
*Esaim: COCV*)

A note on relaxation with constraints on the determinant (2017) - N. Fusco - Y. R. Y. Zhang (Preprint)

A quantitative form of the Faber-Krahn inequality (2016) - I. Fonseca - N. Fusco - G. Leoni - M. Morini (Submitted Paper)

A model for dislocations in epitaxially strained elastic films (2016) - N. Fusco - X. Zhong (Submitted Paper)

On the Euler-Lagrange equation of a functional by Pólya and Szegö (2015) - N. Fusco - G. Moscariello - C. Sbordone (Submitted Paper)

A formula for the total variation of SBV functions (2015) - N. Fusco (Accepted Paper:
*Bull. Math. Sci.*)

The quantitative isoperimetric inequality and related topics (2015) - I. Fonseca - N. Fusco - G. Leoni - M. Morini (Submitted Paper)

Motion of Three-Dimensional Elastic Films by Anisotropic Surface Diffusion with Curvature Regularization (2014) - N. Fusco - V. Julin (Submitted Paper)

On the regularity of critical and minimal sets of a free interface problem (2014) - M. Focardi - N. Fusco - C. Leone - P. Marcellini - E. Mascolo - A. Verde (
*Calc. Var. Partial Differential Equations*)

Weak lower semicontinuity for polyconvex integrals in the limit case (2014) - A. Figalli - N. Fusco - F. Maggi - V. Millot - M. Morini (Accepted Paper:
*Comm. Math. Phys.*)

Isoperimetry and stability properties of balls with respect to nonlocal energies (2014) - M. Barchiesi - G. M. Capriani - N. Fusco - G. Pisante (
*J. Funct. Anal.*)

Stability of Polya-Szego inequality for log-concave functions (2014) - V. Bögelein - F. Duzaar - N. Fusco (Preprint)

A quantitative isoperimetric inequality on the sphere (2013) - M. Barchiesi - F. Cagnetti - N. Fusco (
*J. Eur. Math. Soc.*)

Stability of the Steiner symmetrization of convex sets (2013) - V. Bögelein - F. Duzaar - N. Fusco (Submitted Paper)

A sharp quantitative isoperimetric inequality in higher codimension (2012) - E. Acerbi - N. Fusco - M. Morini (Accepted Paper:
*Communications in Mathematical Physics*)

Minimality via second variation for a nonlocal isoperimetric problem (2011) - B. De Maria - N. Fusco (Submitted Paper)

Regularity properties of equilibrium configurations of epitaxially strained elastic films (2011) - N. Fusco - M. S. Gelli - G. Pisante (Preprint)

On a Bonnesen type inequality involving the spherical deviation (2011) - N. Fusco - V. Julin (Submitted Paper)

A strong form of the quantitative isoperimetric inequality (2011) - I. Fonseca - N. Fusco - G. Leoni - M. Morini (
*Archive for Rational Mechanics and Analysis*)

Motion of elastic thin films by anisotropic surface diffusion with curvature regularization (2011) - I. Fonseca - N. Fusco - G. Leoni - V. Millot (
*Journal de mathematiques pures et appliquees*)

Material voids in elastic solids with anisotropic surface energies (2011) - N. Fusco - V. Millot - M. Morini (Submitted Paper)

A quantitative isoperimetric inequality for fractional perimeters (2010) - M. Amar - V. De Cicco - N. Fusco (
*M3AS*)

Lower semicontinuity results for free discontinuity energies (2010) - N. Fusco - A. Pratelli (
*JEMS*)

On a conjecture by Auerbach (2010) - N. Fusco - F. Maggi - A. Pratelli (
*Journal of Functional Analysis*)

On the isoperimetric problem with respect to a mixed Euclidean-Gaussian density (2010) - S. Fornaro - N. Fusco - G. Metafune - D. Pallara (
*Proc. Roy. Soc. Edinburgh*)

Sharp upper bounds for the density of some invariant measures (2009) - N. Fusco - M. Morini (Accepted Paper:
*Arch. Ration. Mech. Anal.*)

Equilibrium configurations of epitaxially strained elastic films: second order minimality conditions and qualitative properties of solutions (2009) - A. Ferriero - N. Fusco (
*Discrete Cont. Dyn. Syst. Ser. B*)

A note on sets of finite perimeter in the plane (2009) - L. Esposito - N. Fusco (Submitted Paper)

A remark on a free interface problem with volume constraint (2008) - M. Amar - V. De Cicco - N. Fusco (
*ESAIM COCV*)

Lower semicontinuity and relaxation results in BV for integral functionals with BV integrands (2008) - A. Cianchi - N. Fusco - F. Maggi - A. Pratelli (Accepted Paper:
*American Journal of Mathematics*)

On the isoperimetric deficit in the Gauss space (2008) - I. Fonseca - N. Fusco - G. Leoni - M. Morini (
*Arch. Ration. Mech. Anal.*)

Equilibrium configurations of epitaxially strained crystalline films: existence and regularity results (2007) - A. Cianchi - N. Fusco - F. Maggi - A. Pratelli (
*Journal of the European Mathematical Society*)

The sharp Sobolev inequality in quantitative form (2007) - N. Fusco - F. Maggi - A. Pratelli (
*Ann. Sc. Norm. Super. Pisa Cl. Sci. (5)*)

Stability estimates for certain Faber-Krahn, isocapacitary and Cheeger inequalities (2007) - N. Fusco - G. Moscariello - C. Sbordone (Submitted Paper)

The limit of $W^{1,1}$ homeomorphisms with finite distortion (2007) - M. Amar - V. De Cicco - N. Fusco (
*ESAIM COCV*)

A Relaxation result in BV for integral functionals with discontinuous integrands (2007) - N. Fusco - F. Maggi - A. Pratelli (
*Ann. of Math. (2)*)

The sharp quantitative isoperimetric inequality (2006) - N. Fusco - C. Leone - R. March - A. Verde (
*Proc. Royal Soc. of Edinburgh*)

A lower semicontinuity result for polyconvex functionals in SBV (2006) - N. Fusco - F. Maggi - A. Pratelli (
*J. Funct. Anal.*)

The sharp quantitative Sobolev inequality for functions of bounded variation (2006) - A. Cianchi - L. Esposito - N. Fusco - C. Trombetti (Preprint)

A quntitative Polya-Szego principle (2006) - V. De Cicco - N. Fusco - A. Verde (J. of Convex Analysis)

On L^1 lower semicontinuity in BV (2005) - V. De Cicco - N. Fusco - A. Verde (Calc.Var. Partial Differential Equations)

A chain rule formula in BV and application to lower semicontinuity (2005) - A. Cianchi - N. Fusco (Submitted Paper)

Dirichlet integrals and asymmetry (2004) - A. Cianchi - N. Fusco (Submitted Paper)

Minimal rearrangements, strict convexity and critical points (2004) - L. Esposito - N. Fusco - C. Trombetti (Submitted Paper)

A quantitative version of the isoperimetric inequality: the anisotropic case (2004) - N. Fusco - M. Gori - F. Maggi (Accepted Paper:
*Nonlinear Differential Equations and Applications*)

A remark on Serrin's Theorem (2003) - A. Cianchi - N. Fusco (Preprint)

Steiner symmetric extremals in Polya-Szego type inequalities (2003) - M. Chlebik - A. Cianchi - N. Fusco (Submitted Paper)

The perimeter inequality for Steiner symmetrization: cases of equality (2002) - I. Fonseca - N. Fusco - P. Marcellini (Preprint)

On the total variation of the Jacobian (2002) - L. Ambrosio - N. Fusco - D. Pallara (
*Diff. Int. Eqs.*)

Higher Regularity of Solutions of Free Discontinuity Problems (1999) - G. Cupini - N. Fusco - R. Petti (
*J. Math. Anal. Appl.*)

Hölder continuity of local minimizers (1999) - L. Ambrosio - N. Fusco - D. Pallara (
*Annali della Scuola Normale Superiore di Pisa*)

Partial Regularity of Free Discontinuity Sets II (1997)

*15 apr 2021:*Asymptotic stability for the gradient flow of some nonlocal energies*25 sep 2018:*Asymptotic stability of the gradient flow of nonlinear energies*17 jun 2014:*Stability and minimality for a nonlocal variational problem

*7 sep 2020 - 9 sep 2020:*Free Boundary Problems and Related Evolution Equations (Cancelled, postponement under evaluation with funding agencies)*27 jan 2020 - 1 feb 2020:*Calculus of Variations and Applications (on the occasion of Gianni Dal Maso's birthday)*28 nov 2019 - 29 nov 2019:*Two days on CalcVar&PDEs*16 sep 2019 - 20 sep 2019:*The Second joint IMU-INdAM Conference in Analysis*24 jun 2019 - 26 jun 2019:*Singular Nonlinear Problems in Calculus of Variations and PDEs*26 nov 2018 - 30 nov 2018:*Analysis, Control and Inverse Problems for PDEs*24 sep 2018 - 28 sep 2018:*Workshop MAR: Metric Analysis and Regularity*19 mar 2018 - 19 mar 2018:*Incontro Scientifico su problemi ellittici dedicato a Guido Stampacchia*18 sep 2017 - 20 sep 2017:*4th Conference on Recent Trends in Nonlinear Phenomena*3 jul 2017 - 6 jul 2017:*Recent Advances in PDEs and the Calculus of Variations*16 nov 2016 - 18 nov 2016:*Workshop on Calculus of Variations and Nonlinear PDE's*4 oct 2016 - 7 oct 2016:*Lecce Conference in Calculus of Variations and Partial Differential Equation - CDV2016*19 sep 2016 - 23 sep 2016:*A Mathematical Tribute to Ennio De Giorgi*30 jun 2014 - 5 jul 2014:*Existence and Regularity for Nonlinear Sytems of Partial Differential Equations*16 jun 2014 - 20 jun 2014:*Isoperimetric Problems Between Analysis and Geometry*8 jul 2013 - 12 jul 2013:*Vector-valued Partial Differential Equations and Applications*10 jun 2013 - 12 jun 2013:*Calcul des variations et équations différentielles*1 oct 2012 - 4 oct 2012:*Topics in Calculus of Variations and Applications*25 jan 2009 - 30 jan 2009:*First Winter School at IMDEA on PDE's and Inequalities

*14 sep 2017 - 15 sep 2017:*Workshop "Calculus of Variations and Partial Differential Equations"*16 may 2016 - 20 may 2016:*Workshop "New Challenges for the Calculus of Variations Stemming From Problems in the Materials Sciences and Image Processing" In Honour of the 60th Birthday of Irene Fonseca*8 feb 2016 - 12 feb 2016:*School and Workshop "PDEs and applications"*7 jul 2014 - 12 jul 2014:*School on Free Discontinuity Problems*21 nov 2013 - 23 nov 2013:*New Trends in Calculus of Variations and Partial Differential Equations*9 sep 2013 - 13 sep 2013:*ERC School "Geometric Functional Inequalities and Shape Optimization"*1 jul 2013 - 5 jul 2013:*Nonlinear Partial Differential Equations*1 jun 2012 - 31 jul 2012:*Geometric and Analytic techniques in Calculus of Variations and Partial Differential Equations