## Differential and Integral Equations

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

Gianpaolo Piscitelli

#### Abstract

We analyze the limiting problem for the anisotropic $p$-Laplacian ($p\rightarrow\infty$) on convex sets, 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 Szegö-Weinberger type inequality.

#### Article information

Source
Differential Integral Equations, Volume 32, Number 11/12 (2019), 705-734.

Dates
First available in Project Euclid: 22 October 2019

Piscitelli, Gianpaolo. The anisotropic $\infty$-Laplacian eigenvalue problem with Neumann boundary conditions. Differential Integral Equations 32 (2019), no. 11/12, 705--734. https://projecteuclid.org/euclid.die/1571731516