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

Abstract

We analize the limit problem of the anisotropic $p$-Laplacian as $p\to \infty$ 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 Szegö-Weinberger type inequality.

24 pages

References in corpus (3)

• Sharp estimates for the anisotropic torsional rigidity and the principal frequency
• A sharp weighted anisotropic Poincaré inequality for convex domains
• A nonlocal anisotropic eigenvalue problem