<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

Publié en ligne: 08 nov. 2019

Pages: 104 - 116

Reçu: 25 juin 2019

Accepté: 06 oct. 2019

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

Mots clés
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

Publié en ligne: 08 nov. 2019

Pages: 104 - 116

Reçu: 25 juin 2019

Accepté: 06 oct. 2019

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

Mots clésElliptic 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

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