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 115
Strongly nonlinear elliptic unilateral problems without sign condition and with free obstacle in Musielak-Orlicz spaces
Abdeslam Talha
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 15, 2022
March 03, 2109
April 15, 2109

Abstract: In this research, we prove the existence of solutions to an elliptic problem containing two lower order terms, the first nonlinear term satisfying the growth conditions and without sign conditions and the second is a continuous function on R. Note also the right hand side is assumed to be merely integrable. In the present paper, we deal with an existence result for a nonlinear elliptic unilateral problems associated to the following equation: A(u)−div(Φ(u)) + g(x,u,∇u)=f in Ω where Ω is a bounded Lipchitz open subset of (N≥ 2) which satisfies the segment propriety and ...