Korean J. Math. Vol. 20 No. 2 (2012) pp.263-271
DOI: https://doi.org/10.11568/kjm.2012.20.2.263

A BIFURCATION PROBLEM FOR THE BIHARMONIC OPERATOR

Article Sidebar

PDF
Published: Jun 30, 2012

Main Article Content

Tacksun Jung
Q-Heung Choi

Abstract

We investigate the number of the solutions for the biharmonic boundary value problem with a variable coefficient non-linear term. We get a theorem which shows the existence of m weak solutions for the biharmonic problem with variable coefficient. We obtain this result by using the critical point theory induced from the invariant function and invariant linear subspace.



Article Details

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 3.0 Unported License.