Electronic Journal of Differential Equations, Vol. 2023 (2023), No. 54, pp. 1-11.

Title: Existence of solutions for singular elliptic problems with singular 
nonlinearities and critical Caffarelli-Kohn-Nirenberg exponent
       
Author: Mohammed El Mokhtar Ould El Mokhtar (Qassim Univ., Buraidah: Saudi Arabia)
         
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 $a,b,N,\beta,\gamma,\lambda,\mu$.

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