[KSCI] Korea Science Citation Index Service

REDUCTION METHOD APPLIED TO THE NONLINEAR BIHARMONIC PROBLEM

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

Publication Information

Korean Journal of Mathematics / v.18, no.1, 2010 , pp. 87-96 More about this Journal

Abstract

We consider the semilinear biharmonic equation with Dirichlet boundary condition. We give a theorem that there exist at least three nontrivial solutions for the semilinear biharmonic boundary value problem. We show this result by using the critical point theory, the finite dimensional reduction method and the shape of the graph of the corresponding functional on the finite reduction subspace.

Keywords

semilinear biharmonic boundary value problem; critical point theory; finite dimensional reduction method; (P.S.) condition;

Citations & Related Records

Reference

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