# Asymptotic behavior for the radial eigenvalues of p-Laplacian in certain annular domains

## TL;DR

This paper investigates the asymptotic behavior of radial eigenvalues for the p-Laplacian operator in annular domains, providing insights into their spectral properties as parameters vary.

## Contribution

It establishes the asymptotic behavior of radial eigenvalues for the p-Laplacian in annular domains, a novel analysis in this geometric setting.

## Key findings

- Derived asymptotic formulas for eigenvalues
- Characterized eigenvalue behavior as parameters tend to limits
- Enhanced understanding of spectral properties in annular domains

## Abstract

In this paper we prove an asymptotic behavior for the radial eigenvalues to the Dirichlet $p$-Laplacian problem $-\Delta_p\,u = \lambda\,|u|^{p-2}u$ in $\Omega$, $u=0$ on $\partial\Omega$, where $\Omega$ is an annular domain $\Omega=\Omega_{R,\overline{R}}$ in $\mathbb{R}^N$.