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Measure Data for a General Class of Nonlinear Elliptic Problems by Ansari, Mohammed El; Akdim, Youssef; Rhali, Soumia Lalaoui is a scholarly article available to read on EtoBox.

What is Measure Data for a General Class of Nonlinear Elliptic Problems about?

We consider nonlinear elliptic inclusion having a measure in the right-hand side of the type $\beta(u)-div a(x,Du)\ni \mu$ in $\Omega$ a bounded domain in $\mathbb{R}^{N},$ with $\beta$ is a maximal monotone graph in $\mathbb{R}^2$ and $a(x,Du)$ is a Leray-Lions type operator. We study a suitable notion of solution for this kind of problem. The functional setting involves anisotropic Sobolev spaces.

Author

Ansari, Mohammed El; Akdim, Youssef; Rhali, Soumia Lalaoui

Published

2023

Language

EN