Electronic Journal of Differential Equations,
Vol. 2015 (2015), No. 124, pp. 1-13.

Title: Multiple solutions to fourth-order elliptic problems with steep
       potential well

Authors: Liu Yang    (Hengyang Normal Univ., Hunan, China)
         Liping Luo  (Hengyang Normal Univ., Hunan, China)
         Zhenguo Luo (Hengyang Normal Univ., Hunan, China)

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 06, 2015.
Math Subject Classifications: 35J50, 35J60.
Key Words: Fourth-order elliptic equations; variational methods; 
           critical point; concentration.