<abstract xmlns="http://www.w3.org/1999/xhtml">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 <italic>f</italic> ∈ <italic>L</italic>1(Ω).</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).

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

Department of Mathematics, Faculty of Sciences Fez

Department of Mathematics, Faculty of Sciences El Jadida

Moroccan Journal of Pure and Applied Analysis

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

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...

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

Published Online: Nov 08, 2019

Page range: 104 - 116

Received: Jun 25, 2019

Accepted: Oct 06, 2019

DOI: https://doi.org/10.2478/mjpaa-2019-0008

Keywords
Elliptic problem, Entropy solutions, Weighted Orlicz-Sobolev spaces, Compact imbedding, Δ-condition

© 2019 Badr El Haji et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Published Online: Nov 08, 2019

Page range: 104 - 116

Received: Jun 25, 2019

Accepted: Oct 06, 2019

DOI: https://doi.org/10.2478/mjpaa-2019-0008

KeywordsElliptic problem, Entropy solutions, Weighted Orlicz-Sobolev spaces, Compact imbedding, Δ-condition

© 2019 Badr El Haji et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Keywords
Elliptic problem, Entropy solutions, Weighted Orlicz-Sobolev spaces, Compact imbedding, Δ-condition