Wen Zhang, Xianhua Tang, Jian Zhang
Abstract:
This article concerns the fourth-order elliptic equations
where
is a parameter,
and
has nonempty interior. Under some mild assumptions, we establish the existence
of nontrivial solutions. Moreover, the concentration of solutions is also
explored on the set
as
.
Submitted November 23, 2014. Published January 5, 2015.
Math Subject Classifications: 35J35, 35J60.
Key Words: Fourth-order elliptic equations; variational method; concentration.
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Wen Zhang School of Mathematics and Statistics Central South University Changsha, 410083 Hunan, China email: zwmath2011@163.com | |
Xianhua Tang School of Mathematics and Statistics Central South University Changsha, 410083 Hunan, China email: tangxh@mail.csu.edu.cn | |
Jian Zhang School of Mathematics and Statistics Central South University Changsha, 410083 Hunan, China email: zhangjian433130@163.com |
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