Curriculum vitae
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.
Research Interests:
- Semicontinuity of variational integrals
- Homogenization and Gamma-convergence
- Regularity of Elliptic PDE's and Systems
- Free Discontinuity Problems
- Variational Image Segmentation Models
- Symmetrization and Isoperimetric Inequalities
- Free interface problems
List of publications
To get the list of my publications
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Recent papers (in press)
- L.Esposito, N.Fusco, A remark on a free interface problem with volume constraint, preprint 2008
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- S.Fornaro, N.Fusco, G.Metafune, D.Pallara, Sharp upper bounds for the density of some invariant measures, preprint 2008
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- A.Cianchi, N.Fusco, F.Maggi, A.Pratelli, On the isoperimetric deficit in the Gauss sapce, preprint 2008
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- N.Fusco, F.Maggi, A.Pratelli, Stability estimates for certain Faber-Krahn, isocapacitary and Cheeger inequalities, to appear on Ann. Sc. Norm. Pisa
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- A.Cianchi, N.Fusco, F.Maggi, A.Pratelli, The sharp Sobolev inequality in quantitative form, preprint (2007)
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Some old papers
- E.Acerbi, N.Fusco, Semicontinuity problems in the calculus of variations, Arch. Rat. Mech. Anal. (1984)
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- E.Acerbi, N.Fusco, Regularity for minimizers of nonquadratic functionals: the case 1\textless p \textless 2$, J. Math. Ana. Appl. (1989)
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- N.Fusco, P.L.Lions, C.Sbordone, Sobolev imbedding theorems in borderline cases, Proc. Amer. Mat. Soc. (1996)
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- E.Acerbi, N.Fusco, Partial regularity under anisotropic (p,q)-conditions, J. Diff. Equat. (1994)
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- E.Acerbi, N.Fusco, A regularity theorem for minimizers of quasi-convex integrals, Arch. Rat. Mech. Anal(1994)
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- I.Fonseca, N.Fusco, Regularity results for anisotropic image segmentation models, Ann. Scuola. Norm. Sup. Pisa Cl. Sci. (1997)
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- M.Carozza, N.Fusco, G.Mingione Partial regularity of minimizers of quasiconvex integrals with subquadratic growth, Ann. Mat. Pura Appl. (1998)
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- N.Fusco, J.E.Hutchinson, $C^{1,\alpha}$ partial regularity of functions minimizing quasi-convex integrals Manuscripta Math. (1985)
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- L.Ambrosio, N.Fusco, D.Pallara, Partial regularity of free discontinuity sets. II, Ann. Scuola. Norm. Sup. Pisa Cl. Sci. (1997)
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