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Research Article | Open Access

Hardy potential versus lower order terms in Dirichlet problems: regularizing effects

David Arcoya1( ), Lucio Boccardo2, Luigi Orsina3
Departamento de Análisis Matemático, Universidad de Granada, Avda. de Fuente Nueva, s/n, 18071 Granada, Spain
Sapienza Università di Roma – Istituto Lombardo, P.le A. Moro 2, Roma, Italy
Sapienza Università di Roma, P.le A. Moro 2, Roma, Italy
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Abstract

In this paper, dedicated to Ireneo Peral, we study the regularizing effect of some lower order terms in Dirichlet problems despite the presence of Hardy potentials in the right hand side.

Keywords

Laplace equationHardy potentialssummability of solutions

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Mathematics in Engineering
Volume 5 Issue 1,
February 2023
Pages 1-14
DOI: 10.3934/mine.2023004

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Cite this article:
Arcoya D, Boccardo L, Orsina L. Hardy potential versus lower order terms in Dirichlet problems: regularizing effects. Mathematics in Engineering, 2023, 5(1): 1-14. https://doi.org/10.3934/mine.2023004

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Received: 27 September 2021
Revised: 28 November 2021
Accepted: 28 November 2021
Published: 15 February 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)