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Existence Results Of Positive Radial Solutions For A Class Of P(x)-Laplacian Systems

Posted on:2008-05-02Degree:MasterType:Thesis
Country:ChinaCandidate:S Q RenFull Text:PDF
GTID:2120360245478400Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
Firstly, this paper deals with the existence of positive solutions for the p(x)-Laplacian systemsWe prove that the problem has a positive radial solution under some given conditions. Our metheds employ a fixed-point theorem in a cone.Secondly, we study the positive radial solutions for the p(x)-Laplacian systemswhereλ> 0 is a parameter. Here f,g∈[C[0,∞)]~2 and belongs to a class of functions satisfying some given conditions. We discuss the existence of positive radial solutions whenλis large.
Keywords/Search Tags:p(x)-Laplacian system, positive radial solution, existence, cone, fixed-point
PDF Full Text Request
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