On singular $p$-Laplacian problems with discontinuous convection terms

Umberto Guarnotta; Salvatore A. Marano

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arXiv · 2603.13811

On singular $p$-Laplacian problems with discontinuous convection terms

Umberto Guarnotta·Salvatore A. Marano

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Abstract

The existence of positive strong solutions to a homogeneous Dirichlet $p$-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.

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Umberto Guarnotta, Salvatore A. Marano. 2026-03-14. On singular $p$-Laplacian problems with discontinuous convection terms. https://arxiv.org/abs/2603.13811

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