MULTIPLE SOLUTIONS FOR NONHOMOGENEOUS ELLIPTIC EQUARTIONS INVOLVING CRITICAL CAFFARLLI-KOHN-NIRENBERG EXPONRENT
Naima Keddar  1, @  , Atika Matallah  2, @  , Sara Litimein  3, @  
1 : Ecole Supérieure de Management de Tlemcen  -  Website
Tlemcen -  Algeria
2 : Ecole Supérieure de Management de Tlemcen  -  Website
Ecole Supérieure de Management de Tlemcen -  Algeria
3 : University of Sidi Bel Abbes  -  Website
University of Sidi Bel Abbes -  Algeria

In this work, we consider a nonhomogeneous elliptic equation involving a critical Caffarelli-Kohn-Nirenberg exponent with singular terms in Ω a smooth bounded domain in ℝ^{N} (N≥3) containing 0 in its interior,By using the Nehari manifold we establish the existence of two nontrivial solutions.

Subject : : Oral
Topics : Mathematical analysis
Keywords : Variational methods ; critical Caffarelli ; Kohn ; Nirenberg exponent ; singular weights ; Nehari manifold ; Palais ; Smale condition.
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