We review some regularity results for the Laplacian and p-Laplacian in metric measure spaces. The focus is mainly on interior Hölder, Lipschitz and second-regularity estimates and on spaces supporting a Poincaré inequality or having Ricci curvature bounded below.
An overview of regularity results for the Laplacian and p-Laplacian in metric spaces
Violo, Ivan Yuri
2025
Abstract
We review some regularity results for the Laplacian and p-Laplacian in metric measure spaces. The focus is mainly on interior Hölder, Lipschitz and second-regularity estimates and on spaces supporting a Poincaré inequality or having Ricci curvature bounded below.File in questo prodotto:
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overview_plap.pdf
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1-s2.0-S0019357725000412-main.pdf
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