Nonexistence of positive supersolutions to a class of semilinear elliptic equations and systems in an exterior domain  

作　　者：Huyuan Chen Rui Peng Feng Zhou 

机构地区：[1]Department of Mathematics,Jiangxi Normal University,Nanchang 330022,China [2]School of Mathematics and Statistics,Jiangsu Normal University,Xuzhou 221116,China [3]Center for PDEs and School of Mathematical Sciences,East China Normal University,Shanghai 200241,China

出　　处：《Science China Mathematics》2020年第7期1307-1322,共16页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant Nos.11726614 and 11661045);Jiangxi Provincial Natural Science Foundation(Grant No.20161ACB20007);supported by National Natural Science Foundation of China(Grant Nos.11671175 and 11571200);the Priority Academic Program Development of Jiangsu Higher Education Institutions,Top-notch Academic Programs Project of Jiangsu Higher Education Institutions(Grant No.PPZY2015A013);Qing Lan Project of Jiangsu Province;supported by National Natural Science Foundation of China(Grant Nos.11726613,11271133 and 11431005);Science and Technology Commission of Shanghai Municipality(STCSM)(Grant No.13d Z2260400)。

摘　　要：In this paper,we consider the following semilinear elliptic equation:■whereΩis an exterior domain in R^N with N≥3,h:Ω×R^+→R is a measurable function,and derive optimal nonexistence results of positive supersolutions.Our argument is based on a nonexistence result of positive supersolutions of a linear elliptic problem with Hardy potential.We also establish sharp nonexistence results of positive supersolutions to an elliptic system.

关 键 词：semilinear elliptic problem SUPERSOLUTION NONEXISTENCE 

分 类 号：O175.25[理学—数学]