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.

Regularizing effects for some nonlocal elliptic problems / De Bonis, Ida. - In: MATHEMATICS. - ISSN 2227-7390. - (2025).

Regularizing effects for some nonlocal elliptic problems

Ida de Bonis
2025

Abstract

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.
2025
fractional Laplacian; irregular data; nonlocal elliptic problems
01 Pubblicazione su rivista::01a Articolo in rivista
Regularizing effects for some nonlocal elliptic problems / De Bonis, Ida. - In: MATHEMATICS. - ISSN 2227-7390. - (2025).
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1735828
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