Professor of Mathematical Analysis: from 1987 to 1990 at the University of Salerno, from 1990 to 1995 at the University of Naples , from 1995 at the University of Florence and from November 1999 at the University of Naples again.

I have worked mainly on the following subjects:

• Regularity of Elliptic PDE's and Systems
• Symmetrization and Isoperimetric Inequalities
• Evolution of interfaces
• Free Discontinuity Problems
• Semicontinuity of variational integrals
• Homogenization and Gamma-convergence

Visit to other institutions, scientific projects and other activities

• I have visited several universities and research centers where I delivered altogether more than 200 talks and I have been invited as a speaker to more than 80 Conferences, Workshops and Meetings.
• I have been long term visiting professor at the National Australian University of Canberra (21 months), at the Carnegie Mellon University in Pittsburgh (6 months) and at the Academia Sinica of Taipei (6 months)
• From 2013 to 2016 I have been appointed Visiting Professor at the University of Jyvaskyla under the Finnish Distinguished Professor Program of the Academy of Finland
• In 2017 I have been appointed as Visiting Professor for 2 months at the Technische Universitaet in Munich under the von Neumann Visiting Professorship Program
• I have been the supervisor of 7 PhD students
• From 2001 to 2009 I have served in the Scientific Panel of GNAMPA and from 2007 to 2011 in the Scientific Board of the Istituto Nazionale di Alta Matematica. From 2002 to 2006 I have been Director of the Napoli Unit of the Instituto per le Applicazioni del Calcolo (IAC) of CNR. From 2017 to 2021 I have been Director of GNAMPA.
• I have been Scientific Responsible for almost 20 years first of the Firenze Unit and then of the Napoli Unit of several PRIN Projects in Calculus of Variations
• In 2009 I have been granted a 5 years ERC Advanced Grant. The title of my project was 'Analytic Techniques for Geometric and Functional Inequalities'.

Participation in international committees

• From 2017 to 2020 I have been member of the Executive Committee of the European Mathematical Society. From 2019 to 2020 I have been member of the Executive Board of EU-Maths-In

Participation in the Editorial Board of the following Journals:

• ESAIM Journal of Control, Optimization and Calculus of Variations (from 2000 to 2005)
• Ricerche di Matematica (since 2002)
• Nonlinear Differential Equations and Applications, NoDEA (since 2005, Editor in Chief from 2017 to 2020)
• Nonlinear Analysis (from 2006 to 2020)
• Note di Matematica (since 2006)
• Advances in Calculus of Variations (Managing Editor from 2008 to 2015)
• SIAM Journal of Mathematical Analysis (since 2011)
• Advances in Nonlinear Analysis (from 2012 to 2019)
• Differential and Integral Equations (from 2014 to 2020)
• Rendiconti Lincei Matematica e Applicazioni (since 2016)
• Annales Fennici Mathematici (since 2021)

Distinctions:

• 'Caccioppoli Prize' awarded in 1995 by the Italian Mathematical Union
• Plenary Speaker at the 17th Meeting of the Italian Mathematical Union held in 2003 in Milano
• Member of the Societa' Nazionale di Scienze, Lettere e Arti in Napoli since 2008
• Invited Speaker at the Fifth European Congress of Mathematics held in Amsterdam in 2008
• Invited Speaker at the International Congress of Mathematicians (ICM 2010) held in Hyderabad
• 'Tartufari Prize' awarded in 2010 by the Accademia dei Lincei
• Member of the Accademia dei Lincei since 2010
• 'Amerio Prize' awarded in 2014 by the Istituto Lombardo
• Von Humboldt Prize, 2019

To get the list of my publications Click here

• I. Fonseca, N. Fusco, G. Leoni, M. Morini Global and local energy minimizers for a nanowire growth model, preprint 2021 Click here
• N. Fusco, M. Morini Total positive curvature and the equality case in the relative isoperimetric inequality outside convex domains, preprint 2021 Click here
• D. Carazzato, N. Fusco, A. Pratelli Minimality of balls in the small volume regime for a general Gamow type functional, preprint 2020 Click here
• N. Fusco, V. Julin, M. Morini Stationary sets and asymptotic behavior of the mean curvature flow with forcing in the plane, preprint 2020 Click here
• N. Fusco, A.Pratelli Sharp stability for the Riesz potential,, ESAIM J. Control Optim. Calc. Var. (2020)
• F. Farroni, N. Fusco, S. Guarino Lo Bianco, R. Schiattarella A formula for the anisotropic total variation, J. Funct. Anal. (2020)
• N.Fusco, V. Julin, M. Morini The surface diffusion flow with elasticity in three dimensions, Arch. Rat. Mech. Anal. (2020)
• C.N. Chen, Y.S. Choi, N. Fusco The $\Gamma$-limit of traveling waves in the FitzHugh-Nagumo system, J. Diff. Eq. (2019)
• N. Fusco, S. Mukherjee, Y.R.-Y. Zhang A variational characterization of the second eigenvalue of the p-Laplacian on quasi open sets, Proc. London Mathem. Soc. (2019)
• N. Fusco,, J. Kristensen, C. Leone, A. Verde On the H-systems in higher dimension, Nonlinear Analysis (2018)

• E. Acerbi, N. Fusco, Semicontinuity problems in the calculus of variations, Arch. Rat. Mech. Anal. (1984)
• E. Acerbi, N. Fusco, A regularity theorem for minimizers of quasiconvex integrals, Arch. Rat. Mech. Anal. (1987)
• E. Acerbi, N. Fusco, Regularity for minimizers of nonquadratic functionals: the case 1< p < 2, J. Math. Anal. Appl. (1989)
• N. Fusco, C. Sbordone, Higher integrability of the gradient of minimizers of functionals with nonstandard growth conditions, Comm. on Pure and Applied Math. (1990)
• N. Fusco, C. Sbordone, Some remarks on the regularity of minima of anisotropic integrals, Comm. Partial Differential Equations (1993)
• E. Acerbi, N. Fusco, Partial regularity under anisotropic (p,q)-conditions, J. Diff. Equat. (1994)
• N. Fusco, P.L. Lions, C. Sbordone, Sobolev imbedding theorems in borderline cases, Proc. Amer. Mat. Soc. (1996)
• L. Ambrosio, N. Fusco, D. Pallara, Partial regularity of free discontinuity sets II, Ann. Sc. Norm. Sup. di Pisa (1997)
• M. Chlebik, A. Cianchi, N. Fusco, The perimeter inequality for Steiner symmetrization: cases of equality, Annals Math. (2005)
• N. Fusco, F. Maggi, A. Pratelli, The sharp quantitative isoperimetric inequality, Annals Math. (2008)
• E. Acerbi, N. Fusco, M. Morini, Minimality via second variation for a nonlocal isoperimetric problem, Commun. Math. Phys. (2013)
• A. Figalli, N. Fusco, F. Maggi, V. Millot, M. Morini, Isoperimetry and stability properties of balls with respect to nonlocal energies, Commun. Math. Phys. (2015)