On a nonlinear elliptic problems having large monotonocity with L 1-data in weighted Orlicz-Sobolev spaces-Reference-Cited by-同舟云学术

On a nonlinear elliptic problems having large monotonocity with L 1-data in weighted Orlicz-Sobolev spaces

Published:2019-06-01 Issue:1 Volume:5 Page:104-116
ISSN:2351-8227
Container-title:Moroccan Journal of Pure and Applied Analysis
language:en
Short-container-title:

Author:

Haji Badr El¹,Moumni Mostafa El²,Kouhaila Khaled¹

Affiliation:

1. Laboratory LAMA , Department of Mathematics, Faculty of Sciences Fez , University Sidi Mohamed Ben Abdellah , P.O. Box 1796 Atlas Fez , Morocco .

2. Department of Mathematics, Faculty of Sciences El Jadida , University Chouaib Doukkali , P.O. Box 20, 24000 El Jadida , Morocco .

Abstract

Abstract We prove in weighted Orlicz-Sobolev spaces, the existence of entropy solution for a class of nonlinear elliptic equations of Leray-Lions type, with large monotonicity condition and right hand side f ∈ L 1(Ω).

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Analysis

Link

https://www.sciendo.com/pdf/10.2478/mjpaa-2019-0008

Reference21 articles.

1. [1] R. Adams; Sobolev spaces, Academic Press, NewYork 1975.

2. [2] L. Aharouch, E. Azroul and M. Rhoudaf, Nonlinear unilateral problems in Orlicz spaces, Applicationes Mathematicae 33 (2006), no. 2, 217-241.

3. [3] E. Azroul and A. Benkirane: Existence result for a second order nonlinear degenerate elliptic equation in weighted Orlicz-Sobolev spaces. Lecture Note in Pure and Applied Mathematics, Vol 229,pp 111-124 (2002).

4. [4] Aissaoui Fqayeh, A. Benkirane, A. El Moumni, M. and Youssfi, A. Existence of renormalized solutions for some strongly nonlinear elliptic equations in Orlicz spaces, Georgian Math. J.22 (3), (2015), 305–321.10.1515/gmj-2015-0038

5. [5] A. Benkirane, Y. El Hadfi, M. El Moumni; Renormalized solutions for nonlinear parabolic problems with L1-data in Orlicz-Sobolev spaces, Bol. Soc. Parana. Mat. 35(3) (2017), no. 1, 57–84.

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