Regularizing Effects for Some Nonlocal Elliptic Problems

We study the regularizing effect of the zero order term in some elliptic problems, which present in the principal part a nonlocal operator, i.e., the fractional Laplacian operator. We prove the existence of bounded energy solutions, even if the data are assumed to be very irregular.

Bibliographic Details
Main Author: Ida de Bonis
Format: Article
Language:English
Published: MDPI AG 2025-02-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/13/5/687