[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.11568/kjm.2011.19.1.065

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

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

Publication Information

Korean Journal of Mathematics / v.19, no.1, 2011 , pp. 65-75 More about this Journal

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.

Keywords

eigenvalue; Dirichlet boundary condition; biharmonic problem; variable coefficient; degree theory;

Citations & Related Records

Reference

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