[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2014.29.1.037

ON A CLASS OF SEMILINEAR ELLIPTIC SYSTEMS INVOLVING GRUSHIN TYPE OPERATOR

Nguyen, Thanh Chung (Department of Mathematics and Informatics Quang Binh University)

Publication Information

Communications of the Korean Mathematical Society / v.29, no.1, 2014 , pp. 37-50 More about this Journal

Abstract

Using variational methods, we prove some results on the nonexistence and multiplicity of weak solutions for a class of semilinear elliptic systems of two equations involving Grushin type operators with sign-changing nonlinearities. We also shows that the similar results can be obtained for systems of m equations, where m is arbitrary.

Keywords

semilinear elliptic systems; Grushin type operator; non-existence; multiplicity; variational methods;

Citations & Related Records

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