IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i17p3787-d1232212.html
   My bibliography  Save this article

Keller–Osserman Phenomena for Kardar–Parisi–Zhang-Type Inequalities

Author

Listed:
  • Andrey B. Muravnik

    (Nikol’skii Mathematical Institute, Peoples Friendship University of Russia, Miklukho–Maklaya ul. 6, 117198 Moscow, Russia)

Abstract

For coercive quasilinear partial differential inequalities containing nonlinearities of the Kardar–Parisi–Zhang type, we find conditions guaranteeing the absence of global positive solutions. These conditions extend both the classical result of Keller and Osserman and its recent Kon’kov–Shishkov generalization. Additionally, they complement the results for the noncoercive case, which had been previously established by the same author.

Suggested Citation

  • Andrey B. Muravnik, 2023. "Keller–Osserman Phenomena for Kardar–Parisi–Zhang-Type Inequalities," Mathematics, MDPI, vol. 11(17), pages 1-7, September.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:17:p:3787-:d:1232212
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/17/3787/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/17/3787/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Andrey B. Muravnik, 2023. "Qualitative Properties of Solutions of Equations and Inequalities with KPZ-Type Nonlinearities," Mathematics, MDPI, vol. 11(4), pages 1-16, February.
    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.
    1. Sergei Sitnik, 2023. "Editorial for the Special Issue “Analytical and Computational Methods in Differential Equations, Special Functions, Transmutations and Integral Transforms”," Mathematics, MDPI, vol. 11(15), pages 1-7, August.

    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:11:y:2023:i:17:p:3787-:d:1232212. 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.