Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (3): 784-792.

• Articles • Previous Articles     Next Articles

The Existence of Symmetric Positive |Solutions for a Three-point Singular Boundary Value Problem with a p-Laplace Operator

 TIAN Yuan-Sheng1, LIU Chun-Gen2   

  1. 1. Department of Mathematics, Xiangnan University, Hunan Chenzhou Hunan 423000|2. School of Mathematics, Nankai University, Tianjin 300071
  • Received:2008-12-08 Revised:2010-01-14 Online:2010-05-25 Published:2010-05-25
  • Supported by:

    湖南省教育厅科研项目(08C826)、湖南省重点建设学科项目、湖南省高校科技创新团队计划项目、国家自然科学基金重点项目(10531050)、科技部973项目(2006CB805903)以及国家自然科学基金创新团队项目资助

Abstract:

In this paper, we consider the three-point singular boundary value problem with a p-Laplace operator by using the fixed point index theory, the existence and multiplicity results of symmetric positive solutions are obtained.

Key words: p-Laplace opertor, Three-point singular boundary value porblem, Fixed point index, Symmetric positive solution

CLC Number: 

  • 34B15
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