Nicola Fusco
[fuscon]
Full Professor, Dip. Mat. Univ. Napoli
Email: nfusco AT unina.it
Available papers (72):
[plain text]- N. Fusco - D. A. La Manna (preprint)
A remark on a conjecture on the symmetric Gaussian Problem (2023) - A. Diana - N. Fusco - C. Mantegazza (Submitted Paper)
Stability for the Surface Diffusion Flow (2023) - N. Fusco - F. Maggi - M. Morini - M. Novack (Preprint)
Rigidity and large volume residues in exterior isoperimetry for convex sets (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 - D. A. La Manna (preprint)
Some weighted isoperimetric inequalities in quantitative form (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) - 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) - 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) - 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