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Symmetry Of Solutions To Some Semilinear Elliptic Equations With Singular Nonlinearities

Posted on:2019-10-14Degree:MasterType:Thesis
Country:ChinaCandidate:F XuFull Text:PDF
GTID:2370330566484758Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
In this paper,we study semilinear elliptic equations with singular nonlinearities involving Hardy-Leray potential.(?)We consider the bounded area including the origin.The above equation has singularity at the origin and the boundary.We want to prove the symmetry of solutions by moving plane method.The paper is divided into four chapters.In chapter one,we describe the back-ground and the development of this problems.The chapter two,we introduce the preliminaries.The chapter three,we introduce the existence of the weak solutions.The chapter four introduces the main results and its proof.
Keywords/Search Tags:Singular elliptic equation, Hardy potential, Symmetry of solutions, Moving plane method
PDF Full Text Request
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