Estimates and rigidity for stable solutions to some nonlinear elliptic problems

Authors

Keywords:

elliptic equations, p-Laplacian, stable solutions, inequalities on hypersurfaces, nonlocal operators, Dirichlet to Neumann, one-dimensional symmetry, Fourier operators, asymptotic properties.

Abstract

The thesis deals with the study of elliptic Partial Differential Equations. It is divided into two parts, the first one concerning a nonlinear elliptic equation involving the p-Laplacian, and the second one focused on a nonlocal problem arising from a model for water waves.

Published

2021-03-13

Issue

Vol. 103 No. 2 (2021)

Section

Abstracts of PhD Theses
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