Korean J. Math. Vol. 18 No. 4 (2010) pp.489-496

MULTIPLICITY RESULTS FOR SOME FOURTH ORDER ELLIPTIC EQUATIONS

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Yinghua Jin
Q-Heung Choi

Abstract

In this paper we consider the Dirichlet problem for an
fourth order elliptic equation on a open set in R^N . By using vari-
ational methods we obtain the multiplicity of nontrivial weak solu-
tions for the fourth order elliptic equation.



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