IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v8y2020i3p420-d332642.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/8/3/420/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/8/3/420/
    Download Restriction: no
    ---><---

    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. 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.
    3. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    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. Kamal Shah & Poom Kumam & Inam Ullah, 2019. "On Ulam Stability and Multiplicity Results to a Nonlinear Coupled System with Integral Boundary Conditions," Mathematics, MDPI, vol. 7(3), pages 1-20, February.
    3. 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.
    4. Alberto Cabada & Lucía López-Somoza & Mouhcine Yousfi, 2021. "Green’s Function Related to a n -th Order Linear Differential Equation Coupled to Arbitrary Linear Non-Local Boundary Conditions," Mathematics, MDPI, vol. 9(16), pages 1-14, August.
    5. Guotao Wang & Abdeljabbar Ghanmi & Samah Horrigue & Samar Madian, 2019. "Existence Result and Uniqueness for Some Fractional Problem," Mathematics, MDPI, vol. 7(6), pages 1-12, June.
    6. Jeongmi Jeong & Chan-Gyun Kim, 2024. "Existence, Nonexistence and Multiplicity of Positive Solutions for Generalized Laplacian Problems with a Parameter," Mathematics, MDPI, vol. 12(23), pages 1-11, November.
    7. Pshtiwan Othman Mohammed & José António Tenreiro Machado & Juan L. G. Guirao & Ravi P. Agarwal, 2021. "Adomian Decomposition and Fractional Power Series Solution of a Class of Nonlinear Fractional Differential Equations," Mathematics, MDPI, vol. 9(9), pages 1-18, May.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:8:y:2020:i:3:p:420-:d:332642. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.