English

Strong solutions to singular discontinuous $p$-Laplacian problems

Analysis of PDEs 2025-02-14 v2

Abstract

In this paper, the existence of positive strong solutions to a Dirichlet pp-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.

Keywords

Cite

@article{arxiv.2407.20971,
  title  = {Strong solutions to singular discontinuous $p$-Laplacian problems},
  author = {Umberto Guarnotta and Salvatore A. Marano},
  journal= {arXiv preprint arXiv:2407.20971},
  year   = {2025}
}
R2 v1 2026-06-28T17:58:24.486Z