<abstract xmlns="http://www.w3.org/1999/xhtml">

This work is devoted to the study of a new class of parabolic problems in inhomogeneous Orlicz spaces with gradient constraints and <italic>L</italic>1-data. One proves the existence of the solution by studying the asymptotic behaviour as <italic>p</italic> goes to ∞, of a sequence of entropy solutions (<italic>up</italic>) of some nonlinear parabolic equation in inhomogeneous Orlicz-Sobolev spaces with <italic>L</italic>1-data involving the parameter <italic>p</italic>.
</abstract>

This work is devoted to the study of a new class of parabolic problems in inhomogeneous Orlicz spaces with gradient constraints and L1-data. One proves the existence of the solution by studying the asymptotic behaviour as p goes to ∞, of a sequence of entropy solutions (up) of some nonlinear parabolic equation in inhomogeneous Orlicz-Sobolev spaces with L1-data involving the parameter p.

Parabolic inequalities in inhomogeneous Orlicz-Sobolev spaces with gradients constraints and <italic>L</italic>1-data

Moroccan Journal of Pure and Applied Analysis

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Parabolic inequalities in inhomogeneous Orlicz-Sobolev spaces with gradients constraints and -data

This work is devoted to the study of a new class of parabolic problems in inhomogeneous Orlicz spaces with gradient constraints and L1-data. One proves the...

Parabolic inequalities in inhomogeneous Orlicz-Sobolev spaces with gradients constraints and L¹-data

Published Online: Oct 11, 2022

Page range: 328 - 357

Received: Jun 18, 2022

Accepted: Sep 24, 2022

DOI: https://doi.org/10.2478/mjpaa-2022-0023

Keywords
Nonlinear variational inequalities, Nonlinear parabolic equations, p-Laplacian, Orlicz spaces

© 2022 Sana Ajagjal, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Parabolic inequalities in inhomogeneous Orlicz-Sobolev spaces with gradients constraints and L1-data

Published Online: Oct 11, 2022

Page range: 328 - 357

Received: Jun 18, 2022

Accepted: Sep 24, 2022

DOI: https://doi.org/10.2478/mjpaa-2022-0023

KeywordsNonlinear variational inequalities, Nonlinear parabolic equations, p-Laplacian, Orlicz spaces

© 2022 Sana Ajagjal, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Parabolic inequalities in inhomogeneous Orlicz-Sobolev spaces with gradients constraints and L¹-data

Keywords
Nonlinear variational inequalities, Nonlinear parabolic equations, p-Laplacian, Orlicz spaces