English

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

Analysis of PDEs 2024-10-08 v1

Abstract

We analize the limit problem of the anisotropic pp-Laplacian as pp\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.

Keywords

Cite

@article{arxiv.1707.00352,
  title  = {The anisotropic $\infty$-Laplacian eigenvalue problem with Neumann boundary conditions},
  author = {Gianpaolo Piscitelli},
  journal= {arXiv preprint arXiv:1707.00352},
  year   = {2024}
}

Comments

24 pages

R2 v1 2026-06-22T20:35:43.767Z