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arXiv · 2407.20971

Strong solutions to singular discontinuous $p$-Laplacian problems

Umberto Guarnotta·Salvatore A. Marano
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Abstract

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.

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Umberto Guarnotta, Salvatore A. Marano. 2024-07-30. Strong solutions to singular discontinuous $p$-Laplacian problems. https://arxiv.org/abs/2407.20971

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