Nonlinear Elliptic Partial Differential Equations : existence and geometric aspects of solutions
Anno
2017
Proponente Filomena Pacella - Professore Ordinario
Struttura
Sottosettore ERC del proponente del progetto
Componenti gruppo di ricerca
| Componente | Categoria |
|---|---|
| Francesca De Marchis | Componenti il gruppo di ricerca |
| Giulio Galise | Dottorando/Assegnista/Specializzando componente il gruppo di ricerca |
| Isabella Birindelli | Componenti il gruppo di ricerca |
Abstract
The project focuses on the study of some classes of nonlinear elliptic equation which arise in Geometry and Applied Sciences. The aim is to analyze the following questions :
1) Surfaces with constant mean curvature and related isoperimetric inequalities.
2) The problem of prescribing the Gaussian curvature on surfaces with conical singularities.
3) Qualitative properties of positive solutions of Lane-Emden problems in planar convex domains.
4) Asymptotic behavior and concentration phenomena of solutions of fully nonlinear elliptic equations involving the Pucci operators in a ball.
5) Regularity results for solutions of a class of degenerate fully nonlinear elliptic equations.
6) Elliptic and parabolic problems with a Hardy potential.
ERC
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