具p-Laplacian算子型奇异边值问题正解的存在性

Abstract

Abstract:

In this paper, the authors discuss the existence of positive solu tions for a singular boundary value problems with p-Laplacian (Φp(x′) )′+a(t)f(x(t))=0,x(0)-βx′(0)=0,x(1)+δx′(1)=0,where Φp(x)=|x|p-2 ,p>1. By using the fixed point index theorem the authors established the sufficient conditions of the existence of positive solutions for this boundary value problem s under some conditions.These results can be applied to study the existence of the radial solutions for the elliptic boundary value problems.
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Key words: p-Laplacian operator, Singular boundary value p roblems, Positive solutions, Fixed point index

CLC Number:

34B15

LI Bi-Wen. The Existence of Positive Solutions of Singular Boundary Value Problems with p-Laplacian[J].Acta mathematica scientia,Series A, 2003, 23(3): 257-264.

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The Existence of Positive Solutions of Singular Boundary Value Problems with p-Laplacian

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