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Existence Of Concentrate Solution For H(?)non Equation In Hyperbolic Space

Posted on:2019-10-23Degree:MasterType:Thesis
Country:ChinaCandidate:Q E LiFull Text:PDF
GTID:2370330545982076Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
In this paper,we mainly study the existence of the concentrating solution of the H(?)non equation in hyperbolic space.Article is composed of three parts.In the first part,the history,background of the H(?)non equation and the main research work of this paper are introduced.In the second part,we mainly prove the existence of the concentrating solution of the H(?)non equation in hyperbolic space where a ?' bounded domain in hyperbolic space B~N,? >0?2~*=2N/N-2,?>0,? 4The third part is the estimation needed in this paper.
Keywords/Search Tags:Henon equation, Lyapunov-Schmidt reduction, Variational Functional, Critical point, Implicit function theorem, Hyperbolic space
PDF Full Text Request
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