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Paper detail

On a particular scaling for the prototype anisotropic p-Laplacian

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.

preprint2022arXivOpen access
Simone CianiUmberto GuarnottaVincenzo Vespri
math.AP
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Simone CianiUmberto GuarnottaVincenzo Vespri

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