IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-1-4612-4106-5_15.html
   My bibliography  Save this book chapter

Quasilinear Elliptic Operators

In: Fundamental Solutions for Differential Operators and Applications

Author

Listed:
  • Prem K. Kythe

    (University of New Orleans, Department of Mathematics)

Abstract

The problems of modern stellar dynamics and astrophysics are indeed very classical in nature, but the progress made in recent years has made use of the theory of quasilinear elliptic equations. It is found that, based on steady radially symmetric models in stellar systems, this theory has useful applications in certain cosmological problems, especially those connected with the black hole solutions. The theory has been used to develop the fundamental solutions for the p-Laplacian which are applicable to some very diverse problems such as fluid flows through certain types of porous media, the Lane-Emden equations for equilibrium configurations of spherically symmetric gaseous stellar objects, singular solutions for the Emden-Fowler equation and the Einstein-Yang-Mills equations, and the existence and nonexistence of black hole solutions.

Suggested Citation

  • Prem K. Kythe, 1996. "Quasilinear Elliptic Operators," Springer Books, in: Fundamental Solutions for Differential Operators and Applications, chapter 14, pages 338-363, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-4106-5_15
    DOI: 10.1007/978-1-4612-4106-5_15
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:spr:sprchp:978-1-4612-4106-5_15. 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.