Department of Mathematics and Computer Science
Viale Andrea Doria, 6 - 95128 CATANIA - Italy
Telefono: +39-095 7383047, Fax +39-095 7337044, E-mail: fnicolosi@dmi.unict.it
Full Professor of Matematical Analysis at Catania University and professor of Functional Analysis.
Member of Gioenia Academy.
Editor in Chief of the Journal of Pure and Applied Mathematics “Le Matematiche”.
Co-editor of the Proceedings of “International Society for Analysis, its Applications and Computation” 2005, Catania.
Member of the Editorial Board: Complex Variables and Elliptic Equations.
Associate Member of the Editorial Board: Nonlinear Analysis Theory, Methods and Applications.
Author with P. Drabek and A. Kufner of the book: Quasilinear Elliptic Equations with Degenerations and Singularities,Gruyter Series in Nonlinear Analysis and Applications (1997).
Scientific Activity
Degenerate nonlinear partial differential equations of order 2m, Holder regularity of weak solutions of quasilinear elliptic and parabolic equations, existance results for nonlinear degenerate elliptic high-order equations with L^1 data.
Selected Publcations
1. Nicolosi, Francesco
Sul problema di Cauchy-Dirichlet per le equazioni paraboliche a coefficienti discontinui in due variabili.
Matematiche (Catania) 21 (1966) 325—338;
2. Nicolosi, Francesco
Un principio di massimo generalizzato per le sottosoluzioni deboli delle equazioni paraboliche lineari del secondo ordine.
Boll. Un. Mat. Ital. (4) 11 (1975), no. 2, 354—358;
3. Nicolosi, Francesco
Weak solutions of boundary value problems for parabolic operators that may degenerate.
Ann. Mat. Pura Appl. (4) 125 (1980), 135—155;
4. Guglielmino, Francesco; Nicolosi, Francesco
$W$-solutions of boundary value problems for degenerate elliptic operators.
Ricerche Mat. 36 (1987), suppl., 59—72;
Existence theorems for boundary value problems associated with quasilinear elliptic equations.
Ricerche Mat. 37 (1988), no. 1, 157—176;
6. Guglielmino, Francesco; Nicolosi, Francesco
Existence results for boundary value problems associated with a class of quasilinear parabolic equations.
(Italian) Current problems of analysis and mathematical physics (Italian) (Taormina, 1992), 95--117, Univ. Roma "La Sapienza", Rome, (1993);
7. Bonafede, Salvatore; Nicolosi, Francesco
A generalized maximum principle for boundary value problems for degenerate parabolic operators with discontinuous coefficients.
Math. Bohem. 125 (2000), no. 1, 39—54;
8. Bonafede, Salvatore; Nicolosi, Francesco
Quasilinear degenerate parabolic equations in unbounded domains.
Commun. Appl. Anal. 8 (2004), no. 1, 109—123;
9. Bonafede, S.; Nicolosi, F.
On the sets of regularity of solutions for a class of degenerate nonlinear elliptic fourth-order equations with L\sp1 data.
Bound. Value Probl.(2007),15 pp.;
10. Nicolosi F., D'Asero S, Cataldo V. (2006).
Regularity of minimizers of some integral functionals with degenerate integrando, Nonlinear Analysis,to appear.