[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.11568/kjm.2015.23.4.619

MULTIPLICITY RESULT OF THE SOLUTIONS FOR A CLASS OF THE ELLIPTIC SYSTEMS WITH SUBCRITICAL SOBOLEV EXPONENTS

JUNG, TACKSUN (Department of Mathematics Kunsan National University)
CHOI, Q-HEUNG (Department of Mathematics Education Inha University)

Publication Information

Korean Journal of Mathematics / v.23, no.4, 2015 , pp. 619-630 More about this Journal

Abstract

This paper is devoted to investigate the multiple solutions for a class of the cooperative elliptic system involving subcritical Sobolev exponents on the bounded domain with smooth boundary. We first show the uniqueness and the negativity of the solution for the linear system of the problem via the direct calculation. We next use the variational method and the mountain pass theorem in the critical point theory.

Keywords

Cooperative elliptic system; subcritical Sobolev exponents nonlinear term; variational method; mountain pass theorem;

Citations & Related Records

Reference

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