ON A CLASS OF SEMILINEAR ELLIPTIC SYSTEMS INVOLVING GRUSHIN TYPE OPERATOR

Using variational methods, we prove some results on the non- existence 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 system...

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Veröffentlicht in:Communications of the Korean Mathematical Society 2014, 29(1), , pp.37-50
1. Verfasser: Nguyen, Thanh Chung
Format: Artikel
Sprache:eng
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Zusammenfassung:Using variational methods, we prove some results on the non- existence 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. KCI Citation Count: 0
ISSN:1225-1763
2234-3024
DOI:10.4134/CKMS.2014.29.1.037