Estimates from below for the first eigenvalue of the p-Laplacian

被引：2

作者：

Kutev, Nikolai ^{[1
]}

Rangelov, Tsviatko ^{[1
]}

机构：

[1] Bulgarian Acad Sci, Inst Math & Informat, Acad G Bonchev Str,Bl 8, BU-1113 Sofia, Bulgaria

来源：

SIXTH INTERNATIONAL CONFERENCE NEW TRENDS IN THE APPLICATIONS OF DIFFERENTIAL EQUATIONS IN SCIENCES (NTADES 2019) | 2019年 / 2159卷

关键词：

p-Laplacian; First eigenvalue; Hardy inequality; PRINCIPAL EIGENVALUE; EIGENPAIR; PROOF;

D O I：

10.1063/1.5127483

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The first eigenvalue lambda of the p-Laplacian operator with zero Dirichlet boundary condition in bounded domain Omega subset of R-n, n >= 2, p > 1 is considered. A lower bound for lambda is obtained by means of Hardy inequality with double singular kernel. Comparison with analytical and numerical estimates from below in the ball for the first eigenvalue is shown.

引用

页数：15

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