LOWER ESTIMATE OF THE FIRST EIGENVALUE OF p-LAPLACIAN VIA HARDY INEQUALITY

被引：1

作者：

Kutev, Nikolai ^{[1
]}

Rangelov, Tsviatko ^{[1
]}

机构：

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

来源：

COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES | 2019年 / 72卷 / 09期

关键词：

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

D O I：

10.7546/CRABS.2019.09.02

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

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

页码：1167 / 1176

页数：10

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