Korean J. Math. Vol. 22 No. 2 (2014) pp.355-365
DOI: https://doi.org/10.11568/kjm.2014.22.2.355

An application of linking theorem to fourth order elliptic boundary value problem with fully nonlinear term

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Published: Jun 26, 2014
Keywords:
Fourth order elliptic boundary value problem
Mathematics Subject Classification:
35J30, 35J40

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Tacksun Jung
Department of Mathematics, Kunsan National University, Kunsan 573-701 Republic of Korea
Q-Heung Choi
Department of Mathematics Education, Inha University, Incheon 402-751, Republic of Korea

Abstract

We show the existence of nontrivial solutions for some fourth order elliptic boundary value problem with fully nonlinear term. We obtain this result by approaching the variational method and using a linking theorem. We also get a uniqueness result.



Article Details

Supporting Agencies

This work was supported by Inha University Research Grant.

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