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arXiv · 2003.07350

A fractional Laplacian problem with mixed singular nonlinearities and nonregular data

Masoud Bayrami-Aminlouee·Mahmoud Hesaaraki
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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.

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Masoud Bayrami-Aminlouee, Mahmoud Hesaaraki. 2020-03-16. A fractional Laplacian problem with mixed singular nonlinearities and nonregular data. https://doi.org/10.1007/s41808-021-00113-0

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