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

David Arcoya; Lucio Boccardo; Luigi Orsina; David Arcoya; Lucio Boccardo; Luigi Orsina

doi:10.3934/mine.2023004

Mathematics in Engineering

2023, Volume 5, Issue 1: 1-14. doi: 10.3934/mine.2023004

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

1.
Departamento de Análisis Matemático, Universidad de Granada, Avda. de Fuente Nueva, s/n, 18071 Granada, Spain
2.
Sapienza Università di Roma – Istituto Lombardo, P.le A. Moro 2, Roma, Italy
3.
Sapienza Università di Roma, P.le A. Moro 2, Roma, Italy

Received: 27 September 2021 Revised: 28 November 2021 Accepted: 28 November 2021 Published: 11 January 2022

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.
- Laplace equation,
- Hardy potentials,
- summability of solutions
Citation: David Arcoya, Lucio Boccardo, Luigi Orsina. Hardy potential versus lower order terms in Dirichlet problems: regularizing effects[J]. Mathematics in Engineering, 2023, 5(1): 1-14. doi: 10.3934/mine.2023004

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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.

References

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