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A global multiplicity result for two-point boundary value problems of p-Laplacian systems

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Abstract

In this paper, we consider the existence, nonexistence and multiplicity of positive solutions for two-point boundary value problems of p-Laplacian systems which have a singular indefinite weight and real multiparameters. For proofs, we mainly make use of the upper and lower solution method and the fixed point index theorem. To obtain a global multiplicity result, we construct a weighted space to benefit richer topology of the solution space than C 0-space.

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Authors and Affiliations

  1. Department of Mathematics, Pusan National University, Pusan, 609-735, Korea

    Eun Kyoung Lee & Yong-Hoon Lee

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  1. Eun Kyoung Lee
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  2. Yong-Hoon Lee
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Correspondence to Eun Kyoung Lee.

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Lee, E.K., Lee, YH. A global multiplicity result for two-point boundary value problems of p-Laplacian systems. Sci. China Math. 53, 967–984 (2010). https://doi.org/10.1007/s11425-010-0088-5

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  • DOI: https://doi.org/10.1007/s11425-010-0088-5

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