Electron. J. Diff. Equ., Vol. 2012 (2012), No. 39, pp. 1-11.

Singular elliptic systems involving concave terms and critical Caffarelli-Kohn-Nirenberg exponents

Mohammed E. O. El Mokhtar

Abstract:
In this article, we establish the existence of at least four solutions to a singular system with a concave term, a critical Caffarelli-Kohn-Nirenberg exponent, and sign-changing weight functions. Our main tools are the Nehari manifold and the mountain pass theorem.

Submitted July 21, 2011. Published March 14, 2012.
Math Subject Classifications: 35J66, 35J55, 35B40.
Key Words: Singular elliptic system; concave term; mountain pass theorem; critical Caffarelli-Kohn-Nirenberg exponent; Nehari manifold; sign-changing weight function.

Show me the PDF file (239 KB), TEX file, and other files for this article.

Mohammed El Mokhtar Ould El Mokhtar
University of Tlemcen
Dynamics Systems Laboratoire and Applications
BO 119, 13 000, Tlemcen, Algeria
email: med.mokhtar66@yahoo.fr

Return to the EJDE web page