Academic Editor: Youssef EL FOUTAYENI
Received |
Accepted |
Published |
24 January 2020 |
08 February 2020 |
10 March 2020 |
Abstract: This work proves the existence solution of Dirichlet problem managed by singular convection terms : A( u ) = f( x ) in Ω. And u =0 on ∂Ω. Where A( u ) = - div ( M( x) ∇u ) + div ( u E( x )) is a Carathèodory function defined on W_0^(1,p) ( Ω ) into its dual, Ω is a bounded open subset of R^N, N > 2, E ∊ ( L^N ( Ω))^N ( vector fields ), f ∊ L^m ( Ω) with 1 ≤m