IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v8y2020i5p658-d350875.html
   My bibliography  Save this article

A Sub-Supersolution Approach for Robin Boundary Value Problems with Full Gradient Dependence

Author

Listed:
  • Dumitru Motreanu

    (Department of Mathematics, University of Perpignan, 66860 Perpignan, France)

  • Angela Sciammetta

    (Department of Mathematics and Computer Science, University of Palermo, 90123 Palermo, Italy)

  • Elisabetta Tornatore

    (Department of Mathematics and Computer Science, University of Palermo, 90123 Palermo, Italy)

Abstract

The paper investigates a nonlinear elliptic problem with a Robin boundary condition, which exhibits a convection term with full dependence on the solution and its gradient. A sub- supersolution approach is developed for this type of problems. The main result establishes the existence of a solution enclosed in the ordered interval formed by a sub-supersolution. The result is applied to find positive solutions.

Suggested Citation

  • Dumitru Motreanu & Angela Sciammetta & Elisabetta Tornatore, 2020. "A Sub-Supersolution Approach for Robin Boundary Value Problems with Full Gradient Dependence," Mathematics, MDPI, vol. 8(5), pages 1-13, April.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:5:p:658-:d:350875
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/8/5/658/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/8/5/658/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Nikolaos S. Papageorgiou & Patrick Winkert, 2019. "Solutions with sign information for nonlinear nonhomogeneous problems," Mathematische Nachrichten, Wiley Blackwell, vol. 292(4), pages 871-891, April.
    Full references (including those not matched with items on IDEAS)

    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.

      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:5:p:658-:d:350875. 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.