Full Professor, Dip. Mat. Univ. Napoli

Email: nfusco AT unina.it

Available papers (73):

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• N. Fusco - V. Julin - M. Morini (Submitted Paper)
  The isoperimetric inequality for the capillary energy outside convex cylinders (2024)
• N. Fusco - F. Maggi - M. Morini - M. Novack (Advances in Mathematics)
  Rigidity and large volume residues in exterior isoperimetry for convex sets (2024)
• A. Diana - N. Fusco - C. Mantegazza (Submitted Paper)
  Stability for the Surface Diffusion Flow (2023)
• N. Fusco - D. A. La Manna (Journal of Functional Analysis)
  Some weighted isoperimetric inequalities in quantitative form (2023)
• N. Fusco - D. A. La Manna (preprint: Proceedings of the Edinburgh Mathematical Society)
  A remark on a conjecture on the symmetric Gaussian Problem (2023)
• D. Carazzato - N. Fusco - A. Pratelli (Adv. Calc. Var.)
  Minimality of balls in the small volume regime for a general Gamow type functional (2022)
• G. De Philippis - N. Fusco - M. Morini (Submitted Paper)
  Regularity of capillarity droplets with obstacle (2022)
• C. N. Chen - Y. S. Choi - N. Fusco (Submitted Paper)
  $\Gamma$-limit of 2D traveling waves in the FitzHugh-Nagumo system (2022)
• N. Fusco - M. Morini (Submitted Paper)
  Total positive curvature and the equality case in the relative isoperimetric inequality outside convex domains (2021)
• I. Fonseca - N. Fusco - G. Leoni - M. Morini (Submitted Paper)
  Global and local energy minimizers for a nanowire growth model (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)
• N. Fusco - A. Pratelli (COCV)
  Sharp stability for the Riesz potential (2020)
• F. Farroni - N. Fusco - S. Guarino Lo Bianco - R. Schiattarella (J. Funct. Anal.)
  A formula for the anisotropic total variation of SBV functions (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)
• E. Acerbi - N. Fusco - V. Julin - M. Morini (Journal of Differential Geometry)
  Nonlinear stability results for the modified Mullins-Sekerka and the surface diffusion flow (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)
• 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)
• A. Figalli - N. Fusco - F. Maggi - V. Millot - M. Morini (Comm. Math. Phys.)
  Isoperimetry and stability properties of balls with respect to nonlocal energies (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)
• 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)
• E. Acerbi - N. Fusco - M. Morini (Communications in Mathematical Physics)
  Minimality via second variation for a nonlocal isoperimetric problem (2013)
• V. Bögelein - F. Duzaar - N. Fusco (Submitted Paper)
  A sharp quantitative isoperimetric inequality in higher codimension (2012)
• 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)

Seminars:

• 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

Speaker:

• 16 sep 2024 - 20 sep 2024: Frontiers of the Calculus of Variations: a Celebration of the Mathematics of Gianni Dal Maso
• 31 jan 2024 - 2 feb 2024: Calculus of Variations in Siena
• 12 jun 2023 - 16 jun 2023: Calculus of Variations and Geometric Measure Theory
• 5 sep 2022 - 9 sep 2022: Anisotropic isoperimetric problems & related topics
• 20 jun 2022 - 24 jun 2022: Variational Challenges in Materials Science and Imaging
• 13 jun 2022 - 17 jun 2022: Advances in Calculus of Variations
• 13 jun 2022 - 15 jun 2022: Nonlinear PDEs and Applications - on the occasion of Michiel Bertsch's 65(+2)th birthday
• 21 feb 2022 - 25 feb 2022: Free Boundary Problems and Related Evolution Equations
• 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

Organizer:

• 10 feb 2025 - 14 feb 2025: XXXIV Convegno Nazionale di Calcolo delle Variazioni
• 12 feb 2024 - 16 feb 2024: XXXIII Convegno Nazionale di Calcolo delle Variazioni
• 8 may 2023 - 12 may 2023: XXXII Convegno Nazionale di Calcolo delle Variazioni
• 20 jun 2022 - 24 jun 2022: Isoperimetric Problems
• 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