Skip to main content

Eigenvalue problems for degenerate nonlinear elliptic equations in anisotropic media

Abstract

We study nonlinear eigenvalue problems of the type in, where is a degenerate nonnegative weight. We establish the existence of solutions and we obtain information on qualitative properties as multiplicity and location of solutions. Our approach is based on the critical point theory in Sobolev weighted spaces combined with a Caffarelli-Kohn-Nirenberg-type inequality. A specific minimax method is developed without making use of Palais-Smale condition.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Dumitru Motreanu.

Rights and permissions

Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Reprints and permissions

About this article

Cite this article

Motreanu, D., RăDulescu, V. Eigenvalue problems for degenerate nonlinear elliptic equations in anisotropic media. Bound Value Probl 2005, 708605 (2005). https://doi.org/10.1155/BVP.2005.107

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1155/BVP.2005.107