Multiplicity of Positive Solutions for Semilinear Elliptic Systems
Author(s) -
TsingSan Hsu
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/746380
Subject(s) - mathematics , path (computing) , combinatorics , matrix (chemical analysis) , analytical chemistry (journal) , computer science , chemistry , chromatography , programming language
We study the effect of the coefficient of the critical nonlinearity on the number of positive solutions for semilinear elliptic systems. Under suitable assumptions for , , and , we should prove that for sufficiently small , there are at least positive solutions of the semilinear elliptic systems , , where is a bounded domain, , , and for
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