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Existence of Positive Solutions to Singular φ -Laplacian Nonlocal Boundary Value Problems when φ is a Sup-multiplicative-like Function

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  • Jeongmi Jeong

    (Department of mathematics, Pusan National University, Busan 46241, Korea
    These authors contributed equally to this work.)

  • Chan-Gyun Kim

    (Department of Mathematics Education, Chinju National University of Education, Jinju 52673, Korea
    These authors contributed equally to this work.)

Abstract

In this paper, using a fixed point index theorem on a cone, we present some existence results for one or multiple positive solutions to φ -Laplacian nonlocal boundary value problems when φ is a sup-multiplicative-like function and the nonlinearity may not satisfy the L 1 -Carath e ´ odory condition.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:3:p:420-:d:332642
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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. Changyou Wang & Haiqiang Zhang & Shu Wang, 2012. "Positive Solution of a Nonlinear Fractional Differential Equation Involving Caputo Derivative," Discrete Dynamics in Nature and Society, Hindawi, vol. 2012, pages 1-16, October.
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    Cited by:

    1. Jeongmi Jeong & Chan-Gyun Kim, 2025. "Existence, Nonexistence, and Multiplicity of Positive Solutions for Nonlocal Boundary Value Problems," Mathematics, MDPI, vol. 13(5), pages 1-15, March.

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