LIOUVILLE RESULTS FOR STABLE SOLUTIONS OF QUASILINEAR EQUATIONS WITH WEIGHTS  

作　　者：Phuong LE Vu HO 

机构地区：[1]Department of Mathematical Economics, Banking University of Ho Chi Minh City [2]Division of Computational Mathematics and Engineering, Institute for Computational Science,Ton Duc Thang University [3]Faculty of Mathematics and Statistics, Ton Duc Thang University

出　　处：《Acta Mathematica Scientia》2019年第2期357-368,共12页数学物理学报（B辑英文版）

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

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.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.

关 键 词：QUASILINEAR EQUATIONS stable solutions NONEXISTENCE LIOUVILLE THEOREMS 

分 类 号：O[理学]