Electron. J. Differential Equations, Vol. 2023 (2023), No. 54, pp. 1-11.

Existence of solutions for singular elliptic problems with singular nonlinearities and critical Caffarelli-Kohn-Nirenberg exponent

Mohammed El Mokhtar Ould El Mokhtar

Abstract:
In this article, we consider a singular elliptic problem with singular nonlinearities and critical Caffarelli-Kohn-Nirenberg exponent. By using variational methods and Palais-Smale condition, we show the existence of at least two nontrivial solutions. The result depends crucially on the parameters a,b,N,β,γ,λ,μ.

Submitted July 6, 2023. Published August 31, 2023.
Math Subject Classifications: 35J66, 35J55, 35B40.
Key Words: Viscoelasticity; frictional damping; variable exponent; energy decay.
DOI: 10.58997/ejde.2023.54

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Mohammed El Mokhtar Ould El Mokhtar
Department of Mathematics, College of Science
Qassim University, BO 6644
Buraidah: 51452, Kingdom of Saudi Arabia
email: med.mokhtar66@yahoo.fr, M.labdi@qu.edu.sa

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