Jacques Giacomoni, Abdelhamid Gouasmia and Abdelhafid Mokrane (2021) Existence and global behavior of weak solutions to a doubly nonlinear evolution fractional p-laplacian equation. Electronic Journal of Differential Equations , 2021(1072-6691), 1–37
Scientific Publications
Important: This page is frozen. New documents are now available in the digital repository DSpace
Abstract
In this article, we study a class of doubly nonlinear parabolic problems involving the fractional p-Laplace operator. For this problem, we discuss existence, uniqueness and regularity of the weak solutions by using the timediscretization method and monotone arguments. For global weak solutions, we also prove stabilization results by using the accretivity of a suitable associated operator. This property is strongly linked to the Picone identity that provides further a weak comparison principle, barrier estimates and uniqueness of the stationary positive weak solution.
Information
| Item Type | Journal |
|---|---|
| Divisions | |
| ePrint ID | 5245 |
| Date Deposited | 2024-12-17 |
| Further Information | Google Scholar |
| URI | https://univ-soukahras.dz/en/publication/article/5245 |
BibTex
@article{uniusa5245,
title={Existence and global behavior of weak solutions to a doubly nonlinear evolution fractional p-laplacian equation},
author={Jacques Giacomoni, Abdelhamid Gouasmia and Abdelhafid Mokrane},
journal={Electronic Journal of Differential Equations}
year={2021},
volume={2021},
number={1072-6691},
pages={1–37},
publisher={}
}
title={Existence and global behavior of weak solutions to a doubly nonlinear evolution fractional p-laplacian equation},
author={Jacques Giacomoni, Abdelhamid Gouasmia and Abdelhafid Mokrane},
journal={Electronic Journal of Differential Equations}
year={2021},
volume={2021},
number={1072-6691},
pages={1–37},
publisher={}
}