Liu Yang, Liping Luo, Zhenguo Luo
Abstract:
In this article, we are concerned with a class of fourth-order elliptic
equations with sublinear perturbation and steep potential well.
By using variational methods, we obtain that such equations admit at
least two nontrivial solutions. We also explore the phenomenon of
concentration of solutions.
Submitted January 9, 2015. Published May 6, 2015.
Math Subject Classifications: 35J50, 35J60.
Key Words: Fourth-order elliptic equations; variational methods;
critical point; concentration.
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Liu Yang Department of Mathematics and Computing Sciences Hengyang Normal University Hengyang, 421008 Hunan, China email: yangliuyanzi@163.com |
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Liping Luo Department of Mathematics and Computing Sciences Hengyang Normal University Hengyang, 421008 Hunan, China email: luolp3456034@163.com |
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Zhenguo Luo Department of Mathematics and Computing Sciences Hengyang Normal University Hengyang, 421008 Hunan, China email: robert186@163.com |
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