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Existence and Multiplicity Results for Nonlocal Boundary Value Problems with Strong Singularity

Author

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  • Chan-Gyun Kim

    (Department of Mathematics Education, Chinju National Univeristy of Education, Jinju 52673, Korea)

Abstract

In this paper, we study singular φ -Laplacian nonlocal boundary value problems with a nonlinearity which does not satisfy the L 1 -Carathéodory condition. The existence, nonexistence and/or multiplicity results of positive solutions are established under two different asymptotic behaviors of the nonlinearity at ∞.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:5:p:680-:d:352723
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    References listed on IDEAS

    as
    1. 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.
    2. Jeongmi Jeong & Chan-Gyun Kim, 2019. "Existence of Positive Solutions to Singular Boundary Value Problems Involving φ -Laplacian," Mathematics, MDPI, vol. 7(7), pages 1-13, July.
    3. Xianghui Xu & Yong-Hoon Lee, 2014. "Some Existence Results of Positive Solutions for -Laplacian Systems," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-11, May.
    Full references (including those not matched with items on IDEAS)

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