[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.11568/kjm.2015.23.2.259

DIRICHLET BOUNDARY VALUE PROBLEM FOR A CLASS OF THE NONCOOPERATIVE 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.23, no.2, 2015 , pp. 259-267 More about this Journal

Abstract

This paper is devoted to investigate the existence of the solutions for a class of the noncooperative elliptic system involving critical Sobolev exponents. We show the existence of the negative solution for the problem. We show the existence of the unique negative solution for the system of the linear part of the problem under some conditions, which is also the negative solution of the nonlinear problem. We also consider the eigenvalue problem of the matrix.

Keywords

Noncooperative elliptic system; critical Sobolev exponents nonlinear term; eigenvalue problem of the matrix;

Citations & Related Records

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