IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v167y2015i3d10.1007_s10957-013-0368-7.html
   My bibliography  Save this article

Multiple Solutions of Dirichlet Problems on the Sierpinski Gasket

Author

Listed:
  • Brigitte E. Breckner

    (Babeş-Bolyai University)

  • Csaba Varga

    (Babeş-Bolyai University)

Abstract

There are treated nonlinear, elliptic, and parameter-depending problems, defined on the Sierpinski gasket, a highly non-smooth fractal set. Even if the structure of this fractal differs considerably from that of (open) domains of Euclidean spaces, the paper emphasizes that PDEs defined on it may be studied (as in the Euclidean case) by means of certain variational methods. Using such methods, and some recent abstract multiplicity theorems by B. Ricceri, there are proved several results concerning the existence of multiple solutions of three-parameter Dirichlet problems defined on the Sierpinski gasket.

Suggested Citation

  • Brigitte E. Breckner & Csaba Varga, 2015. "Multiple Solutions of Dirichlet Problems on the Sierpinski Gasket," Journal of Optimization Theory and Applications, Springer, vol. 167(3), pages 842-861, December.
    • Handle: RePEc:spr:joptap:v:167:y:2015:i:3:d:10.1007_s10957-013-0368-7
    DOI: 10.1007/s10957-013-0368-7
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10957-013-0368-7
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10957-013-0368-7?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

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


    Cited by:

    1. Ghasem A. Afrouzi & Martin Bohner & Giuseppe Caristi & Shapour Heidarkhani & Shahin Moradi, 2018. "An Existence Result for Impulsive Multi-point Boundary Value Systems Using a Local Minimization Principle," Journal of Optimization Theory and Applications, Springer, vol. 177(1), pages 1-20, April.

    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:spr:joptap:v:167:y:2015:i:3:d:10.1007_s10957-013-0368-7. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.