Strongly nonlinear parabolic problems with natural growth terms and L1 data in Musielak-Orlicz-Sobolev spaces
Abstract
We prove in this paper the existence of solutions of strongly nonlinear parabolic problems with natural growth terms and L1 data in Musielak-Orlicz-Sobolev spaces. An approximation and a compactness results in inhomogeneous Musielak-Orlicz-Sobolev spaces have also been provided.
Copyright © 2024 M. L. Ahmed Oubeid, M. Sidi El Vally. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
M. L. A. Oubeid, M. S. El Vally, Strongly nonlinear parabolic problems with natural growth terms and L1 data in Musielak-Orlicz-Sobolev spaces, J. Math. Comput. Sci. 14 (2024), 15. https://doi.org/10.28919/jmcs/8889
BibTeX
@article{Oubeid2024,
author = {Oubeid, M. L. Ahmed and El Vally, M. Sidi},
title = {Strongly nonlinear parabolic problems with natural growth terms and L1 data in Musielak-Orlicz-Sobolev spaces},
journal = {J. Math. Comput. Sci.},
volume = {14},
year = {2024},
pages = {15},
doi = {10.28919/jmcs/8889}
}