Affiliation:
1. 566369 Sultan Moulay Slimane University , Beni-Mellal , Morocco
Abstract
Abstract
In this paper we focus on a certain class of anisotropic obstacle problems governed by a Leray–Lions operator. This problem is subject to homogeneous Neumann boundary conditions. By applying truncation techniques and the monotonicity method, we establish the existence of entropy solutions for the problem studied in the framework of anisotropic weighted Sobolev spaces with variable exponent.
Reference22 articles.
1. A. Abbassi, C. Allalou and A. Kassidi,
Anisotropic elliptic nonlinear obstacle problem with weighted variable exponent,
J. Math. Study 54 (2021), no. 4, 337–356.
2. A. Abbassi, C. Allalou and A. Kassidi,
Existence of entropy solutions for anisotropic elliptic nonlinear problem in weighted Sobolev space,
Nonlinear Analysis: Problems, Applications and Computational Methods,
Lect. Notes Netw. Syst. 168,
Springer, Cham (2021), 102–122.
3. A. Abbassi, C. Allalou and A. Kassidi,
Existence of entropy solutions of the anisotropic elliptic nonlinear problem with measure data in weighted Sobolev space,
Bol. Soc. Parana. Mat. (3) 40 (2022), 22.
4. A. Abbassi, E. Azroul and A. Barbara,
Degenerate
p
(
z
)
{p(z)}
-elliptic equation with second membre in
L
1
{L^{1}}
,
Adv. Sci. Technol. Eng. Syst. J. 2 (2017), 45–54.
5. Y. Akdim, E. Azroul and A. Benkirane,
Existence of solutions for quasilinear degenerate elliptic equations,
Electron. J. Differential Equations 2001 (2001), Paper No. 71.