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

In this paper we prove the existence of at least one renormalized solution for the p(x)-Laplacian equation associated with a maximal monotone operator and Radon measure data. The functional setting involves Sobolev spaces with variable exponent <italic>W</italic>1,<italic>p</italic>(·)(Ω).
</abstract>

In this paper we prove the existence of at least one renormalized solution for the p(x)-Laplacian equation associated with a maximal monotone operator and Radon measure data. The functional setting involves Sobolev spaces with variable exponent W1,p(·)(Ω).

Renormalized solutions for a <italic>p</italic>(·)-Laplacian equation with Neumann nonhomogeneous boundary condition involving diffuse measure data and variable exponent

Moroccan Journal of Pure and Applied Analysis

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

Renormalized solutions for a (·)-Laplacian equation with Neumann nonhomogeneous boundary condition involving diffuse measure data and variable exponent

In this paper we prove the existence of at least one renormalized solution for the p(x)-Laplacian equation associated with a maximal monotone operator and...

Renormalized solutions for a p(·)-Laplacian equation with Neumann nonhomogeneous boundary condition involving diffuse measure data and variable exponent

Publié en ligne: 28 mai 2022

Pages: 163 - 178

Reçu: 06 juin 2021

Accepté: 30 déc. 2021

DOI: https://doi.org/10.2478/mjpaa-2022-0012

Mots clés
Variable exponent, Maximal monotone operator, Radon measure, Renormalized solution, Neumann boundary conditions

© 2022 M. B. Benboubker et al., published by Sciendo

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

Renormalized solutions for a p(·)-Laplacian equation with Neumann nonhomogeneous boundary condition involving diffuse measure data and variable exponent

Publié en ligne: 28 mai 2022

Pages: 163 - 178

Reçu: 06 juin 2021

Accepté: 30 déc. 2021

DOI: https://doi.org/10.2478/mjpaa-2022-0012

Mots clésVariable exponent, Maximal monotone operator, Radon measure, Renormalized solution, Neumann boundary conditions

© 2022 M. B. Benboubker et al., published by Sciendo

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

Mots clés
Variable exponent, Maximal monotone operator, Radon measure, Renormalized solution, Neumann boundary conditions