Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 178
Existence of entropy solutions for some nonlinear and noncoercive unilateral elliptic problems in anisotropic sobolev spaces
Youssef Hajji, Mohammed Belayachi, Hassane Hjiaj
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 24, 2022
March 03, 2162
April 15, 2162

Abstract: This paper is concerned with the study of the existence results to the obstacle problem associated with the equation having degenerate coercivity, whose prototype is given -\sum_{i=1}^{N}\frac{\partial}{\partial x_{i}} a_{i}( x,u,∇u)+F(x,∇u)=f(x,u) in Ω. Where Ω is bounded open set of R^N (N≥2) and ƒ(.,s) satisfying some growth conditions. We show the existence of entropy solutions for this non coercive unilateral elliptic equation and we will conclude some regularity results.