Regularizing Effects for Some Nonlocal Elliptic Problems

Ida de Bonis ()
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Ida de Bonis: Dipartimento di Pianificazione Design Tecnologie dell’Architettura, Sapienza Università di Roma, Via Flaminia 72, 00196 Roma, Italy

Mathematics, 2025, vol. 13, issue 5, 1-8

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.

Keywords: nonlocal elliptic problems; fractional Laplacian; irregular data (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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