On the properties of some nonlinear eigenvalues

被引：45

作者：

Alvino, A ^{[1
]}

Ferone, V ^{[1
]}

Trombetti, G ^{[1
]}

机构：

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

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1998年 / 29卷 / 02期

关键词：

nonlinear eigenvalues; Payne-Rayner inequality; symmetrization;

D O I：

10.1137/S0036141096302111

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the eigenvalue problem for a nonlinear equation involving the p-Laplacian with homogeneous Dirichlet conditions. We give some properties of the first eigenvalue and of the corresponding eigenfunction. In particular we prove inequalities similar to the well-known Payne-Rayner inequality, which holds in the linear case.

引用

页码：437 / 451

页数：15

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