An upper bound for nonlinear eigenvalues on convex domains by means of the isoperimetric deficit

被引：16

作者：

Brandolini, Barbara ^{[1
]}

Nitsch, Carlo ^{[1
]}

Trombetti, Cristina ^{[1
]}

机构：

[1] Univ Naples Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, I-80126 Naples, Italy

来源：

ARCHIV DER MATHEMATIK | 2010年 / 94卷 / 04期

关键词：

1ST DIRICHLET EIGENVALUE; STABILITY; EQUATION;

D O I：

10.1007/s00013-010-0102-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove an upper bound for the first Dirichlet eigenvalue of the p-Laplacian operator on convex domains. The result implies a sharp inequality where, for any convex set, the Faber-Krahn deficit is dominated by the isoperimetric deficit.

引用

页码：391 / 400

页数：10

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