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The Blow Up Analysis Of Solutio-ns Of Some Elliptic Sinh-Gordon Equation

Posted on:2014-01-04Degree:MasterType:Thesis
Country:ChinaCandidate:F W JiangFull Text:PDF
GTID:2230330392461148Subject:Partial differential equations
Abstract/Summary:PDF Full Text Request
In this article we are interested in the blow up behavior of sequences of solutions of some Sinh-Gordon equation on a bounded smooth domain Ω∈R2as follows: Furthermore,we discuss the blow up behavior of one special case as Wn(x)=Vn(x)=λnis a positive constant. Also we can get its energy relation-ship as follows:(m1(p)-m2(p))2=8π(m1(p)+m2(p))We will apply Harnack inequation to study the blow up behavior of sequences of solutions and use Pohozaev identity to find the energy relation-ship at blow up point.
Keywords/Search Tags:Sinh-Gordon equation, blow up point, regular point, Pohozaev identity, Harnack inequation
PDF Full Text Request
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