[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.11568/kjm.2012.20.3.333

BIFURCATION PROBLEM FOR THE SUPERLINEAR ELLIPTIC OPERATOR

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

Publication Information

Korean Journal of Mathematics / v.20, no.3, 2012 , pp. 333-341 More about this Journal

Abstract

We investigate the number of solutions for the superlinear elliptic bifurcation problem with Dirichlet boundary condition. We get a theorem which shows the existence of at least $k$ weak solutions for the superlinear elliptic bifurcation problem with boundary value condition. We obtain this result by using the critical point theory induced from invariant linear subspace and the invariant functional.

Keywords

elliptic boundary value problem; superlinear; even functional; critical point theory; invariant functional; invariant subspace; $(P.S.)_c$ condition; eigenvalue problem;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
Cited By KSCI

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