[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.11568/kjm.2012.20.1.107

EXISTENCE OF THE SOLUTIONS FOR THE SINGULAR POTENTIAL ELLIPTIC SYSTEM

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.1, 2012 , pp. 107-116 More about this Journal

Abstract

We investigate the multiple solutions for a class of the elliptic system with the singular potential nonlinearity. We obtain a theorem which shows the existence of the solution for a class of the elliptic system with singular potential nonlinearity and Dirichlet boundary condition. We obtain this result by using variational method and critical point theory.

Keywords

Elliptic system; singular potential nonlinearity; Dirichlet boundary condition; variational method; critical point theory; deformation retract; $(P.S.)_c$ condition;

Citations & Related Records

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