[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.11568/kjm.2018.26.1.9

ELLIPTIC BOUNDARY VALUE PROBLEM WITH TWO SINGULARITIES

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

Publication Information

Korean Journal of Mathematics / v.26, no.1, 2018 , pp. 9-21 More about this Journal

Abstract

We investigate existence and multiplicity of the solutions for elliptic boundary value problem with two singularities. We obtain one theorem which shows that there exists at least one nontrivial weak solution under some conditions on which the corresponding functional of the problem satisfies the Palais-Smale condition. We obtain this result by variational method and critical point theory.

Keywords

Elliptic boundary value problem; Singular potential; variational method; critical point theory; $(P.S.)_c$ condition;

Citations & Related Records

Reference

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