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Multiple nontrivial solutions for a class of nonlinear elliptic Kirchhoff equations
Hayat Benchira  1, *@  , Atika Matallah  2@  , Sara Litimein  3@  
1 : University of Tlemcen  -  Website
University of 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
* : Corresponding author

This work is devoted to the existence and multiplicity to a Brezis-Nirenberg type problems involving singular nonlinearitie. The main tool is variational methods, more precisely, by using the Ekeland's variational principle we can find the first critical point with negative level. From the Mountain Pass Theorem we also obtain a critical point whose level is positive.


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