Korean J. Math. Vol. 25 No. 3 (2017) pp.455-468
DOI: https://doi.org/10.11568/kjm.2017.25.3.455

Applications of topolological methods to the semilinear biharmonic problem with different powers

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Published: Sep 27, 2017
Keywords:
Fourth order elliptic boundary value problem, fully nonlinear
Mathematics Subject Classification:
35J20, 35J25

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Tacksun Jung
Department of Mathematics Kunsan National University
Q-Heung Choi
Department of Mathematics Education Inha University

Abstract

We prove the existence of multiple solutions for the fourth order nonlinear elliptic problem with fully nonlinear term. Our method is based on the critical point theory; the variation of linking method and category theory.


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References

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