论文标题

在特定的缩放上,针对各向异性p-laplacian

On a particular scaling for the prototype anisotropic p-Laplacian

论文作者

Ciani, Simone, Guarnotta, Umberto, Vespri, Vincenzo

论文摘要

在此简短说明中,我们表明,在体积不延伸的缩放下,有可能为抛物线完全各向异性方程的局部弱解决方案恢复基本理论的基础知识。我们表征了有关此特定缩放的自相似解决方案,我们表明,该方程解决方案的半持续点是简单属性本身在缩放下不变的结果。

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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