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Hölder continuity of parabolic quasi-minimizers on metric measure spaces

Herán A (2022)

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Publication Type: Journal article

Publication year: 2022

Journal

Book Volume: 341

Pages Range: 208-262

DOI: 10.1016/j.jde.2022.09.019

Abstract

We prove Hölder continuity for scalar valued local parabolic quasi-minimizers on metric measure spaces. More precisely we consider locally bounded quasi-minimizers u associated to a Carathéodory integrand f obeying p-growth assumptions for p>1. The superquadratic case p>2 has already been considered in [31] by studying parabolic De Giorgi classes in metric measure spaces. By generalizing the results in [36] to the metric setting we are able to even consider the subquadratic case 1

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How to cite

APA:

Herán, A. (2022). Hölder continuity of parabolic quasi-minimizers on metric measure spaces. Journal of Differential Equations, 341, 208-262. https://doi.org/10.1016/j.jde.2022.09.019

MLA:

Herán, Andreas. "Hölder continuity of parabolic quasi-minimizers on metric measure spaces." Journal of Differential Equations 341 (2022): 208-262.

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