Xiaotao Qian, Jianqing Chen
Abstract:
In this article, we study the problem
where
,
,
,
with
.
Under some assumptions on the potentials a(x) and b(x),
we obtain a pair of sign-changing solutions of the problem via variational
methods and certain estimates.
Submitted July 13, 2017. Published September 22, 2017.
Math Subject Classifications: 35J20, 35J60.
Key Words: Sign-changing solutions; variational method; critical problem.
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Xiaotao Qian College of Mathematics and Computer Science & FJKLMAA Fujian Normal University Qishan Campus, Fuzhou 350108, China email: qianxiaotao1984@163.com | |
Jianqing Chen College of Mathematics and Computer Science & FJKLMAA Fujian Normal University Qishan Campus, Fuzhou 350108, China email: jqchen@fjnu.edu.cn |
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