cvgmt: The anisotropic $\infty$-Laplacian eigenvalue problem with Neumann boundary conditions

Calculus of Variations and Geometric Measure Theory

G. Piscitelli

The anisotropic $\infty$-Laplacian eigenvalue problem with Neumann boundary conditions

created by piscitelli on 31 Aug 2022
modified on 11 Sep 2022

[BibTeX]

preprint

Inserted: 31 aug 2022
Last Updated: 11 sep 2022

Year: 2017

Abstract:

We analize the limit problem of the anisotropic $p$-Laplacian as $p\rightarrow\infty$ with the mean of the viscosity solution. We also prove some geometric properties of eigenvalues and eigenfunctions. In particular, we show the validity of a Szeg\"o-Weinberger type inequality.