Research Communication | Open Access
Volume 2021 | Communication ID 314
Volume 2021 | Communication ID 314
| Existence results for a class of nonlocal nonlinear elliptic problems |
Said Ait Temghart, Adil Abbassi, Chakir Allalou
Received |
Accepted |
Published |
February 17, 2021 |
February 28, 2021 |
March 15, 2021 |
Abstract: In this paper, we study the p-Laplacien problems in the case where p depending on the solution itself. We consider two situations, when p is a local and nonlocal quantity. By using a singular perturbation technique, we prove the existence of weak solutions. We also prove the existence of weak solutions to the nonlocal version of the associated boundary-value problem.