IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i12p1973-d833741.html
   My bibliography  Save this article

Existence and Multiplicity of Solutions for a Bi-Non-Local Problem

Author

Listed:
  • Jiabin Zuo

    (School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China)

  • Tianqing An

    (College of Science, Hohai University, Nanjing 210098, China)

  • Alessio Fiscella

    (Dipartimento di Matematica e Applicazioni, Universita degli Studi di Milano-Bicocca, Via Cozzi 55, 20125 Milano, Italy)

  • Chungen Liu

    (School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China)

Abstract

The aim of this paper is to investigate the existence and multiplicity of solutions for a bi-non-local problem. Precisely, we show that the above problem admits at least a non-trivial positive energy solution by using the mountain pass theorem. Furthermore, with the help of the fountain theorem, we obtain the existence of infinitely many positive energy solutions, assuming a symmetric condition for g . The main feature and difficulty of this paper is the presence of a double non-local term involving two variable parameters.

Suggested Citation

  • Jiabin Zuo & Tianqing An & Alessio Fiscella & Chungen Liu, 2022. "Existence and Multiplicity of Solutions for a Bi-Non-Local Problem," Mathematics, MDPI, vol. 10(12), pages 1-12, June.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:12:p:1973-:d:833741
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/12/1973/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/12/1973/
    Download Restriction: no
    ---><---

    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:10:y:2022:i:12:p:1973-:d:833741. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.