On a nonlinear elliptic problems having large monotonocity with L1-data in weighted Orlicz-Sobolev spaces

Badr El Haji; Mostafa El Moumni; Khaled Kouhaila

doi:10.2478/mjpaa-2019-0008

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On a nonlinear elliptic problems having large monotonocity with L1-data in weighted Orlicz-Sobolev spaces

Moroccan Journal of Pure and Applied Analysis

Volume 5 (2019): Issue 1 (June 2019)

By: Badr El Haji, Mostafa El Moumni and Khaled Kouhaila

Open Access

|Nov 2019

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 ∈ L¹(Ω).

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Articles in this issue

DOI: https://doi.org/10.2478/mjpaa-2019-0008 | Journal eISSN: 2351-8227

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Language: English

Page range: 104 - 116

Submitted on: Jun 25, 2019

Accepted on: Oct 6, 2019

Published on: Nov 8, 2019

Published by: Sciendo

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Elliptic problem,

Entropy solutions,

Weighted Orlicz-Sobolev spaces,

Related subjects:

Differential equations and dynamical systems,

Probability and statistics,

Numerical and computational mathematics

© 2019 Badr El Haji, Mostafa El Moumni, Khaled Kouhaila, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 5 (2019): Issue 1 (June 2019)