Title of article :
Existence and uniqueness of weak solution in weighted Sobolev spaces for a class of nonlinear degenerate elliptic problems with measure data
Author/Authors :
El Ouaarabi, Mohamed Laboratory LMACS - Sultan Moulay Slimane University, Morocco , Abbassi, Adil Laboratory LMACS - Sultan Moulay Slimane University, Morocco , Allalou, Chakir Laboratory LMACS - Sultan Moulay Slimane University, Morocco
Pages :
19
From page :
2635
To page :
2653
Abstract :
In this paper, we study the existence and uniqueness of weak solution to a Dirichlet boundary value problems for the following nonlinear degenerate elliptic problems
−div[ω1A(x,∇u)+ν2B(x,u,∇u)]+ν1C(x,u)+ω2|u|p−2u=f−divF,
where 1
Keywords :
Dirichlet problem , nonlinear degenerate elliptic problems , Browder-Minty Theorem , weighted Sobolev spaces , weak solution
Journal title :
International Journal of Nonlinear Analysis and Applications
Serial Year :
2022
Record number :
2713814
Link To Document :
