On the Classification of Stable Solutions of some elliptic equations in half-space
Analysis of PDEs
2021-07-13 v1 Classical Analysis and ODEs
Abstract
In this paper, we are concerned with stable solutions , possibly unbounded and sign-changing, of some semi-linear elliptic problem with mixed nonlinear boundary conditions. We establish the nonexistence of stable solutions, the main methods used are the Pohozaev identity, monotonicity formula of solutions together with a blowing down sequence.
Keywords
Cite
@article{arxiv.2107.04999,
title = {On the Classification of Stable Solutions of some elliptic equations in half-space},
author = {Foued Mtiri and Abdelbaki Selmi and Cherif Zaidi},
journal= {arXiv preprint arXiv:2107.04999},
year = {2021}
}