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EXISTENCE OF INFINITELY MANY LARGE SOLUTIONS FOR A CLASS OF FOURTH-ORDER ELLIPTIC EQUATIONS IN
Author(s) : Jiu Liu and Shao Xiong Chen
Pages : [49] - [60]
Received : December 7, 2012; Revised January 1, 2013
Communicated by : Professor Haik G. Ghazaryan
Pages : [49] - [60]
Received : December 7, 2012; Revised January 1, 2013
Communicated by : Professor Haik G. Ghazaryan
Abstract
In this paper, we study the following fourth-order elliptic equations:
Using the variant fountain theorem, under certain assumptions on V and f, we obtain infinitely many large solutions.
Keywords
fourth-order elliptic equations, variational methods, variant fountain theorem.