Elliptic equations and systems arising in Geometry and Physics

Anno
2018
Proponente Francesca De Marchis - Professore Associato
Sottosettore ERC del proponente del progetto
Componenti gruppo di ricerca
Abstract

The project focuses on the study of some classes of nonlinear elliptic Partial Differential Equations which appear in Differential Geometry and in Applied Sciences. The aim is to analyze the following questions:

1) Prescribed Gaussian curvature problem on surfaces with conical singularities and related problems involving Liouville type equations

2) Constant mean curvature surfaces and related overdetermined elliptic problems

3) Asymptotic behavior of solutions of Lane-Emden problems in planar domains

4) Competition-diffusion systems with drift terms

ERC
PE1_8
Keywords:
EQUAZIONI DIFFERENZIALI ALLE DERIVATE PARZIALI, GEOMETRIA DIFFERENZIALE, METODI MATEMATICI DELLA FISICA

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