On the Classification of Stable Solutions of some elliptic equations in half-space

Autor:	Mtiri, Foued, Selmi, Abdelbaki, Zaidi, Cherif
Rok vydání:	2021
Předmět:	Mathematics - Analysis of PDEs Mathematics - Classical Analysis and ODEs
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2107.04999 Zobrazit plný text záznamu View this record from Arxiv