Renormalized solutions for a p (·)-Laplacian equation with Neumann nonhomogeneous boundary condition involving diffuse measure data and variable exponent
, , y | 28 may 2022
Acerca de este artículo
Publicado en línea: 28 may 2022
Páginas: 163 - 178
Recibido: 06 jun 2021
Aceptado: 30 dic 2021
DOI: https://doi.org/10.2478/mjpaa-2022-0012
Palabras clave
© 2022 M. B. Benboubker et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
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