On singular $p$-Laplacian problems with discontinuous convection terms
Analysis of PDEs
2026-03-17 v1
Abstract
The existence of positive strong solutions to a homogeneous Dirichlet -Laplacian problem, with reaction sum of a both singular at zero and highly discontinuous nonlinearity and of a discontinuous convection term, is established. Locality arguments, based on suitable measure theoretical results (see Section 3), are employed.
Cite
@article{arxiv.2603.13811,
title = {On singular $p$-Laplacian problems with discontinuous convection terms},
author = {Umberto Guarnotta and Salvatore A. Marano},
journal= {arXiv preprint arXiv:2603.13811},
year = {2026}
}