Liouville-type theorems for elliptic equations in half-space with mixed boundary value conditions

Advances in Nonlinear Analysis

article

Abdellaziz Harrabi¹  Belgacem Rahal² 

[1] Institut Supérieur des Mathématiques Appliquées et de l’Informatique de Kairouan, Université de Kairouan;Faculté des Sciences, Département de Mathématiques, Université de Sfax

关键词: Liouville theorem;    stable solutions;    nonlinear boundary value condition;    stability outside a compact set;    monotonicity formula;   

DOI  :  10.1515/anona-2016-0168

学科分类：社会科学、人文和艺术（综合）

来源: De Gruyter

【 摘 要 】

In this paper we study the nonexistence of solutions, which are stable or stable outside a compact set, possibly unbounded and sign-changing, of some nonlinear elliptic equations with mixed boundary value conditions. The main methods used are the integral estimates and the monotonicity formula.

【 授权许可】

CC BY