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



Inserted: 31 aug 2022
Last Updated: 11 sep 2022

Year: 2017

ArXiv: 1707.00352 PDF


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.