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Existence Of Positive Solutions For A Semilinear Elliptic Equation Systems Involving Critical Sobolev Exponent

Posted on:2019-05-30Degree:MasterType:Thesis
Country:ChinaCandidate:B B ZhengFull Text:PDF
GTID:2370330548971600Subject:Applied Mathematics
Abstract/Summary:
In this paper,we will use classical variational method to investigate the ex-istence of positive solutions for the following semilinear elliptic equation systems,which is involved with critical Sobolev exponent and has the type(?)where Ω is a bounded domain in RN(N≥4),K(x),Q(x),H(x)are positive continuous functions on Ω,1<α,β<2*-1 and α+β=2*,2*= 2N/N-2 is the Sobolev critical exponent.We proved that the equation systems exists positive solution when K(x),Q(x)y H(x)and α,β satisfied some conditions.
Keywords/Search Tags:Semilinear elliptic equation systems, Positive solution, Mountain Pass Lemma, Sobolev critical exponent, Coupled term
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