Asymptotic behavior and monotonicity of radial eigenvalues for the p-Laplacian

被引：2

作者：

Kajikiya, Ryuji ^{[1
]}

Tanaka, Mieko ^{[2
]}

Tanaka, Satoshi ^{[3
]}

机构：

[1] Osaka Electrocommun Univ, Ctr Phys & Math, Neyagawa, Osaka 5728530, Japan

[2] Tokyo Univ Sci, Dept Math, Kagurazaka 1-3,Shinjyuku Ku, Tokyo 1628601, Japan

[3] Tohoku Univ, Math Inst, Aoba 6-3 Aoba Ku, Sendai 9808578, Japan

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2024年 / 387卷

关键词：

p-Laplacian; Eigenvalue; Radial eigenfunction; Asymptotic behavior; Monotonicity; PRINCIPAL EIGENVALUE; OPERATOR;

D O I：

10.1016/j.jde.2024.01.027

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the radial eigenvalues of the p-Laplacian in a domain ⠂ with the Dirichlet boundary condition, where ⠂ is a ball or an annulus. For the k-th eigenvalue lambda k(p, ⠂), we study the asymptotic behavior of lambda k(p, ⠂) as p -> 1 + 0 or p -> infinity, and prove the monotonicity and non-monotonicity of lambda k(p, ⠂) with respect to p. (c) 2024 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons .org /licenses /by -nc -nd /4 .0/).

引用

页码：496 / 531

页数：36

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