Acta mathematica scientia,Series A

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Positive Solutions for Singular Two-point Boundary Value Problem for p-Laplacian Equation

Xiong Ming; Liu Jiaquan; Zeng Pingan   

  1. Department of Mathematics, Dali University, Yunnan 671000
  • Received:2005-11-30 Revised:2006-08-29 Online:2007-06-25 Published:2007-06-25
  • Contact: Xiong Ming

Abstract: Some results on existence of positive solutions for singular boundary value problem
-(|u'(t)|p-2u'(t))'=a(t)f(u(t)), t∈(0,1)

u(0)=u(1)=0

have been given, where the function a(t) may be singular at t=0,1.

Key words: Singular boundary value problem, Positive solution, p-Laplacian equation

CLC Number: 

  • 34B15
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