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http://dx.doi.org/10.11568/kjm.2012.20.1.125

ELLIPTIC PROBLEM WITH A VARIABLE COEFFICIENT AND A JUMPING SEMILINEAR TERM  

Choi, Q-Heung (Department of Mathematics Education Inha University)
Jung, Tacksun (Department of Mathematics Kunsan National University)
Publication Information
Korean Journal of Mathematics / v.20, no.1, 2012 , pp. 125-135 More about this Journal
Abstract
We obtain the multiple solutions for the fourth order elliptic problem with a variable coefficient and a jumping semilinear term. We have a result that there exist at least two solutions if the variable coefficient of the semilinear term crosses some number of the eigenvalues of the biharmonic eigenvalue problem. We obtain this multiplicity result by applying the Leray-Schauder degree theory.
Keywords
Fourth order elliptic operator; variable coefficient semilinear term; Dirichlet boundary condition; Leray-Schauder degree;
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