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The Ground State Solution Of A Class Of Klein-Gordon-Maxwell Systems

Posted on:2018-01-07Degree:MasterType:Thesis
Country:ChinaCandidate:X ZhangFull Text:PDF
GTID:2350330536973190Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
In the paper,we use variational methods and some analysis technologies to investigate the existence of ground state solution for Klein-Gordon-Maxwell system in the whole space R3.In Chapter 1,we introduce physical background and research status on Klein-Gordon-Maxwell system,give some necessary theorems and lemmas,and make provision for the structure of the article.In Chapter 2,we study the following Klein-Gordon-Maxwell system with subcritical growth term where ?>0,u,and(?):R3 ?R.Under appropriate conditions on f,we obtain that existence of ground state solution for this system.In Chapter 3,we study the following Klein-Gordon-Maxwell system with critical growth term where ?>0,u,(?)R3 ?R.and f satisfies the appropriate conditions,we obtain existence of ground state solution for this system.
Keywords/Search Tags:Klein-Gordon-Maxwell system, Subcritical growth term, Critical growth term, Ground state solution, Variational methods
PDF Full Text Request
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