Korean J. Math. Vol. 19 No. 1 (2011) pp.65-75
DOI: https://doi.org/10.11568/kjm.2011.19.1.065

AN APPLICATION OF THE LERAY-SCHAUDER DEGREE THEORY TO THE VARIABLE COEFFICIENT SEMILINEAR BIHARMONIC PROBLEM

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Published: Mar 30, 2011

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Q-Heung Choi
Tacksun Jung

Abstract

We obtain multiplicity results for the nonlinear biharmonic problem with variable coefficient. We prove by the Leray-Schauder degree theory that the nonlinear biharmonic problem has multiple solutions for the biharmonic problem with the variable coefficient semilinear term under some conditions.



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