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

IF 1.1 4区数学 Q1 MATHEMATICS

Differential and Integral Equations Pub Date : 2017-07-02 DOI:10.57262/die/1571731516

Gianpaolo Piscitelli

引用次数: 2

Abstract

We analize the limit problem of the anisotropic $p$-Laplacian as $p\rightarrow\infty$ 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.

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具有Neumann边界条件的各向异性$\infty$-Laplace特征值问题

我们将各向异性$p$-Laplacian的极限问题分析为$p\rightarrow\infty$，并用粘度解的平均值。我们还证明了本征值和本征函数的一些几何性质。特别地，我们证明了Szeg\o-Weinberger型不等式的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Differential and Integral Equations MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Differential and Integral Equations will publish carefully selected research papers on mathematical aspects of differential and integral equations and on applications of the mathematical theory to issues arising in the sciences and in engineering. Papers submitted to this journal should be correct, new, and of interest to a substantial number of mathematicians working in these areas.