Research Communication | Open Access
Volume 2019 | Communication ID 151
Volume 2019 | Communication ID 151
| Existence Of A Renormalized Solution For Some Nonlinear Anisotropic Elliptic Problems |
Youssef Akdim, Mohammed Elansari, Soumia Lalaoui Rhali
Received |
Accepted |
Published |
Jan 30, 2019 |
Feb 26, 2019 |
Mar 01, 2019 |
Abstract: Our aim is to study a general class of nonlinear anisotropic elliptic problems associated with the differential inclusion: (E,f): {█(ß(u)-div(a(x,Du)+F(u))∋ f in Ω@u=0 on )┤ with a right-hand side f which is assumed to belong to L^1 (Ω) for (E,f). A vector field a(.,.) is a Caratheodory function. Furthermore, F: R→R^N is locally lipschitz continuous and β: R→ 2^R is a set valued, maximal monotone mapping such that 0∈ β(0). Using trunction techniques and the generalized monotonicity method in the framework of Anisotropic ...