On a particular scaling for the prototype anisotropic p-Laplacian

Simone Ciani; Umberto Guarnotta; Vincenzo Vespri

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arXiv · 2205.07359

On a particular scaling for the prototype anisotropic p-Laplacian

Simone Ciani·Umberto Guarnotta·Vincenzo Vespri

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Abstract

In this brief note we show that under a volume non-preserving scaling it is possible to recover the basics for a regularity theory regarding local weak solutions to a parabolic fully anisotropic equation. We characterize self-similar solutions regarding this particular scaling and we show that semi-continuity for solutions to this equation is a consequence of a simple property that is itself invariant under scaling.

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BibTeX RIS

Simone Ciani, Umberto Guarnotta, Vincenzo Vespri. 2022-05-15. On a particular scaling for the prototype anisotropic p-Laplacian. https://arxiv.org/abs/2205.07359

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