LIOUVILLE RESULTS FOR STABLE SOLUTIONS OF QUASILINEAR EQUATIONS WITH WEIGHTS

作     者：Phuong LE Vu HO 

作者机构：Department of Mathematical Economics Banking University of Ho Chi Minh City Division of Computational Mathematics and Engineering Institute for Computational ScienceTon Duc Thang University Faculty of Mathematics and Statistics Ton Duc Thang University 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2019年第39卷第2期

页      面：357-368页

核心收录：

学科分类：07[理学] 

基　　金：supported by Vietnam National Foundation for Science and Technology Development(NAFOSTED)under Grant No.101.02-2017.307 

主　　题：quasilinear equations stable solutions nonexistence Liouville theorems 

摘      要：This paper is devoted to the quasilinear equation ■where p 2,Ω is a(bounded or unbounded) domain of R^N,w_1,w_2 are nonnegative continuous functions and f is an increasing function. We establish a Liouville type theorem for nontrivial stable solutions of the equation under some mild assumptions on Ω,w_1, w_2 and f, which extends and unifies several results on this topic.