t 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 the fully anisotropic equation with constant coefficients 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.
On a particular scaling for the prototype anisotropic p-Lapacian / Simone Ciani, Umberto Guarnotta, Vincenzo Vespri. - STAMPA. - (2023), pp. 289-308. [10.1007/978-3-031-20021-2_15]
On a particular scaling for the prototype anisotropic p-Lapacian
Vincenzo Vespri
2023
Abstract
t 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 the fully anisotropic equation with constant coefficients 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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