Strong solutions to singular discontinuous $p$-Laplacian problems

Fuente: arXiv
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Autori principali: Guarnotta, Umberto, Marano, Salvatore A.
Natura: Preprint
Pubblicazione: 2024
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author Guarnotta, Umberto
Marano, Salvatore A.
author_facet Guarnotta, Umberto
Marano, Salvatore A.
contents In this paper, the existence of positive strong solutions to a Dirichlet $p$-Laplacian problem with reaction both singular at zero and highly discontinuous is investigated. In particular, it is only required that the set of discontinuity points has Lebesgue measure zero.
format Preprint
id arxiv_https___arxiv_org_abs_2407_20971
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Strong solutions to singular discontinuous $p$-Laplacian problems
Guarnotta, Umberto
Marano, Salvatore A.
Analysis of PDEs
35J60, 35J75, 35J99
In this paper, the existence of positive strong solutions to a Dirichlet $p$-Laplacian problem with reaction both singular at zero and highly discontinuous is investigated. In particular, it is only required that the set of discontinuity points has Lebesgue measure zero.
title Strong solutions to singular discontinuous $p$-Laplacian problems
topic Analysis of PDEs
35J60, 35J75, 35J99
url https://arxiv.org/abs/2407.20971