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GUO Yan ping, GE Wei gao, SHAN Wen rui. Existence of Solutions for S-L Singular Boundary Value Problems with p-Laplacian Operators[J]. JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2002, 11(2): 220-224.
Citation: GUO Yan ping, GE Wei gao, SHAN Wen rui. Existence of Solutions for S-L Singular Boundary Value Problems with p-Laplacian Operators[J].JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2002, 11(2): 220-224.
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Existence of Solutions for S-L Singular Boundary Value Problems with p-Laplacian Operators

  • 1.

    Department of Applied Mathematics, Beijing Institute of Technology, Beijing100081, China

  • 2.

    College of Sciences, Hebei University of Science and Technology, Shijiazhuang 050018, China

Funds:SponsoredbyNationalNaturalScienceFoundation(19871005);FundforResearchonDoctoralProgramsinInstitutionsofHigherLearning(1999000722)
  • Received Date:2001-08-27
    Abstract
  • The existence of solutions for singular nonlinear two point boundary value problems subject to Sturm Liouville boundary conditions with p Laplacian operators is studied by the method of upper and lower solutions. The proof is based on an application of Schauder's fixed point theorem to a modified problem whose solutions are that of the original one. At the same time, Arzela Ascoli theorem is used to prove that the defined operator N is a compact map.
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