Renormalized solutions for some nonlinear nonhomogeneous elliptic problems with Neumann boundary conditions and right hand side measure

Author:

Azroul Elhoussine1ORCID,Benboubker Mohamed Badr2,Bouzyani Rachid1,Chrayteh Houssam3ORCID

Affiliation:

1. Faculté des Sciences Dhar El Mahraz

2. Université Abdelmalek Essaadi

3. Beirut Arab University

Abstract

Our aim in this paper is to study the existence of renormalized solution for a class of nonlinear p(x)-Laplace problems with Neumann nonhomogeneous boundary conditions and diuse Radon measure data which does not charge the sets of zero p(.)-capacity

Publisher

Sociedade Paranaense de Matematica

Subject

General Mathematics

Reference26 articles.

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2. 2. E. Azroul, M. B. Benboubker and M. Rhoudaf, Entropy solution for some p(x)-quasilinear problems with right-hand side measure, African Diaspora Journal of Mathematics, Vol.13, No.2 (2012), 23–44.

3. 3. E. Akdim, E. Azroul and M. Rhoudaf, Entropy solutions of nonlinear elliptic equations with measurable boundary conditions and without strict monotonicity conditions, European Journal of Applied Mathematics, Vol.1, 4 (2008), 56-71.

4. 4. F. Andreu, N. Iqbida, F. M. Ma´on and J. Toledo, L1 existence and uniqueness results for Quasi-linear elliptic equations with nonlinear boundary conditions, Annales de l’Institut de Henri poincar´e (c) Analyse non lin´eaire, 20 (2007), 61–89.

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