Electron. J. Diff. Equ., Vol. 2010(2010), No. 32, pp. 1-12.

Singular elliptic equations involving a concave term and critical Caffarelli-Kohn-Nirenberg exponent with sign-changing weight functions

Mohammed Bouchekif, Atika Matallah

Abstract:
In this article we establish the existence of at least two distinct solutions to singular elliptic equations involving a concave term and critical Caffarelli-Kohn-Nirenberg exponent with sign-changing weight functions.

Submitted September 28, 2009. Published March 3, 2010.
Math Subject Classifications: 35A15, 35B25, 35B33, 35J60.
Key Words: Variational methods; critical Caffarelli-Kohn-Nirenberg exponent; concave term; singular and sign-changing weights; Palais-Smale condition.

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Mohammed Bouchekif
Université Aboubekr Belkaid, Département de Mathématiques
BP 119 (13000) Tlemcen - Algérie
email: m_bouchekif@yahoo.fr
Atika Matallah
Université Aboubekr Belkaid, Département de Mathématiques
BP 119 (13000) Tlemcen - Algérie
email: atika_matallah@yahoo.fr

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