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Existence, Nonexistence and Multiplicity of Positive Solutions for Singular Boundary Value Problems Involving φ -Laplacian

Author

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  • Chan-Gyun Kim

    (Department of Mathematics Education, Pusan National University, Busan 609-735, Korea)

Abstract

In this paper, we establish the results on the existence, nonexistence and multiplicity of positive solutions to singular boundary value problems involving φ -Laplacian. Our approach is based on the fixed point index theory. The interesting point is that a result for the existence of three positive solutions is given.

Suggested Citation

  • Chan-Gyun Kim, 2019. "Existence, Nonexistence and Multiplicity of Positive Solutions for Singular Boundary Value Problems Involving φ -Laplacian," Mathematics, MDPI, vol. 7(10), pages 1-12, October.
  • Handle: RePEc:gam:jmathe:v:7:y:2019:i:10:p:953-:d:275794
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    Citations

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    Cited by:

    1. Chan-Gyun Kim, 2020. "Existence and Multiplicity Results for Nonlocal Boundary Value Problems with Strong Singularity," Mathematics, MDPI, vol. 8(5), pages 1-25, May.
    2. Jeongmi Jeong & Chan-Gyun Kim, 2020. "Existence of Positive Solutions to Singular φ -Laplacian Nonlocal Boundary Value Problems when φ is a Sup-multiplicative-like Function," Mathematics, MDPI, vol. 8(3), pages 1-18, March.

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