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

• 作者: Feng Zhou Huyuan Chen Rui Peng
• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2020,（7）
• 页码范围: 1307-1322
• 页数: 16页
• 语种: 英文

摘要

In this paper,we consider the following semilinear elliptic equation:{-△u =h(x,u) in Ω,u ≥ 0 on Ω,where Ω is an exterior domain in RN 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.

作者信息

序号	姓名	单位	发文数	被引次数	H指数	G指数
1	Huyuan Chen		1	0	0.0	0.0
2	Rui Peng		1	0	0.0	0.0
3	Feng Zhou		1	0	0.0	0.0