A fractional Laplacian problem with mixed singular nonlinearities and nonregular data
Analysis of PDEs
2023-05-22 v9
Abstract
In this note, we study the existence and uniqueness of a positive solution to a doubly singular fractional problem with nonregular data. Besides, for some cases, we will show the existence and uniqueness of another notion of a solution, so-called entropy solution. Also, with suitable assumptions on data, we will discuss the uniqueness. Finally, we will have some relaxation on the assumption to prove the existence results.
Cite
@article{arxiv.2003.07350,
title = {A fractional Laplacian problem with mixed singular nonlinearities and nonregular data},
author = {Masoud Bayrami-Aminlouee and Mahmoud Hesaaraki},
journal= {arXiv preprint arXiv:2003.07350},
year = {2023}
}
Comments
We are grateful for any feedback or comments. arXiv admin note: text overlap with arXiv:1910.04716