Dissertation > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations > Ordinary Differential Equations

Existence of Positive Solutions for a Class of Degenerate or Singular Equations

Author WangChunHua
Tutor PengShuangJie
School Central China Normal University
Course Basic mathematics
Keywords The singular or degradation Equation Radial solutions Mountain Pass Theorem Pohozaev identity Kelvin transform Moving plane method Method of moving spheres
CLC O175.1
Type Master's thesis
Year 2009
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We have studied a class of singular or degenerate equation where a , b ∈ R n gt ; , A ∈ R , α gt ; 0 , θ gt ; 0 and p = ( ? ) When the equation parameters within value , through the mountain pass lemma Pohozeav identity , Kelvin transformation , moving plane method , the method of moving spheres and the classical theory of ordinary differential equations have been the result of the existence and non - existence of positive solutions .

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