Chun-Yu Lei, Jia-Feng Liao, Hong-Min Suo
Abstract:
In this article we show the existence and multiplicity of positive
solutions for the nonlocal problem with a sign-changing weight function,
where
is a smooth bounded domain in
,
.
Our technical approach is based on the variational method.
Submitted October 28, 2016. Published January 10, 2017.
Math Subject Classifications: 35J20, 35J30, 35J66.
Key Words: Nonlocal problem; variational method; sign-changing potential;
positive solution.
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Chun-Yu Lei School of Sciences Gui Zhou Minzu University Guiyang 550025, China email: leichygzu@sina.cn | |
Jia-Feng Liao School of Mathematics and Information China West Normal University Nanchong 637002, China email: liaojiafeng@163.com | |
Hong-Min Suo School of Sciences Gui Zhou Minzu University Guiyang 550025, China email: 11394861@qq.com |
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