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 427
On the existence of Renormalized solutions of nonlinear elliptic problem with generalizezed growth and measure data
Nourdine El Amarty, Badr El Haji, Mostafa El Moumni
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 31, 2022
March 03, 2360
April 15, 2360

Abstract: In the present paper , We study the existence of renormalized solutions for the following nonlinear boundary value problem: B(u)-div(F(x,u))=μ in Ω, Where Ω is a bounded domain of R^N ,N≥2 ,B(u)=-div(b(x,u,∇u)) is a leray lions operator defined from the space W_0^1 L_φ ( Ω) into its dual W^(-1) L_φ ̅( Ω) with φ and φ ̅ are two complementary Musielak-Orlicz functions .