IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i24p4010-d1548981.html
   My bibliography  Save this article

Solvability of Some Elliptic Equations with a Nonlocal Boundary Condition

Author

Listed:
  • Serik Aitzhanov

    (Department of Mathematics, Al-Farabi Kazakh National University, Kazakhstan, Almaty, al-Farabi Ave. 71, Almaty 050040, Kazakhstan
    Institute of Mathematics and Mathematical Modeling, Shevchenko Str. 28, Almaty 050010, Kazakhstan)

  • Bakytbek Koshanov

    (Institute of Mathematics and Mathematical Modeling, Shevchenko Str. 28, Almaty 050010, Kazakhstan)

  • Aray Kuntuarova

    (Department of Mathematics and Mathematical Modeling, Abai Kazakh National Pedagogical University, Dostyk Ave. 13, Almaty 050000, Kazakhstan)

Abstract

In this work, we study a nonlocal boundary value problem for a quasilinear elliptic equation. Using the method of regularization and parameter continuation, we prove the existence and uniqueness of a regular solution to the nonlocal boundary value problem, i.e., a solution that possesses all generalized derivatives in the sense of S. L. Sobolev, which are involved in the corresponding equation.

Suggested Citation

  • Serik Aitzhanov & Bakytbek Koshanov & Aray Kuntuarova, 2024. "Solvability of Some Elliptic Equations with a Nonlocal Boundary Condition," Mathematics, MDPI, vol. 12(24), pages 1-12, December.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:24:p:4010-:d:1548981
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/24/4010/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/12/24/4010/
    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:12:y:2024:i:24:p:4010-:d:1548981. 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.