IDEAS home Printed from https://ideas.repec.org/a/hin/jnlamp/760157.html
   My bibliography  Save this article

Existence of Multiple Positive Solutions for Choquard Equation with Perturbation

Author

Listed:
  • Tao Xie
  • Lu Xiao
  • Jun Wang

Abstract

This paper is concerned with the following Choquard equation with perturbation: , , where , , and . This kind of equations is well known as the Choquard or nonlinear Schrödinger-Newton equation. Under some assumptions for the functions , we prove the existence of multiple positive solutions of the equation. Moreover, we also show that these results still hold for more generalized Choquard equation with perturbation.

Suggested Citation

  • Tao Xie & Lu Xiao & Jun Wang, 2015. "Existence of Multiple Positive Solutions for Choquard Equation with Perturbation," Advances in Mathematical Physics, Hindawi, vol. 2015, pages 1-10, September.
    • Handle: RePEc:hin:jnlamp:760157
    DOI: 10.1155/2015/760157
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AMP/2015/760157.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AMP/2015/760157.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2015/760157?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Citations

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


    Cited by:

    1. Tao Wang, 2020. "Asymptotic Analysis of Multiple Solutions for Perturbed Choquard Equations," Indian Journal of Pure and Applied Mathematics, Springer, vol. 51(1), pages 135-142, March.
    2. Zhipeng Yang & Yuanyang Yu, 2021. "Existence and concentration of solution for Schrödinger-Poisson system with local potential," Partial Differential Equations and Applications, Springer, vol. 2(4), pages 1-22, August.
    3. Xiaoyan Shi & Yulin Zhao & Haibo Chen, 2019. "Existence of Solutions for Nonhomogeneous Choquard Equations Involving p-Laplacian," Mathematics, MDPI, vol. 7(9), pages 1-17, September.

    More about this item

    Statistics

    Access and download statistics

    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:hin:jnlamp:760157. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.