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arXiv · 2302.11927

A note on gradient estimates for p-Laplacian equations

Umberto Guarnotta·Salvatore A. Marano
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Abstract

The aim of this short paper is to show that some assumptions in [10] can be relaxed and even dropped when looking for weak solutions instead of strong ones. This improvement is a consequence of two results concerning gradient terms: an $L^\infty$ estimate, which exploits nonlinear potential theory, and a compactness result, based on the classical Riesz-Fr\'echet-Kolmogorov theorem.

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Umberto Guarnotta, Salvatore A. Marano. 2023-02-23. A note on gradient estimates for p-Laplacian equations. https://arxiv.org/abs/2302.11927

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