Title of article :
Infinitely many solutions for fourth-order elliptic equations
Author/Authors :
Ye، نويسنده , , Yiwei and Tang، نويسنده , , Chun-Lei، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2012
Pages :
14
From page :
841
To page :
854
Abstract :
In this paper, we study a class of fourth-order elliptic equations setting on R N . Based on the minimax methods in critical point theory, we obtain the existence of infinitely many large-energy and small-energy solutions, which unifies and improves the recent results of Yin and Wu [Y. Yin, X. Wu, High energy solutions and nontrivial solutions for fourth-order elliptic equations, J. Math. Anal. Appl. 375 (2011) 699–705].
Keywords :
Symmetric mountain pass theorem , Fourth-order elliptic equation , critical point , Cerami sequences
Journal title :
Journal of Mathematical Analysis and Applications
Serial Year :
2012
Journal title :
Journal of Mathematical Analysis and Applications
Record number :
1562965
Link To Document :
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