On the properties of some nonlinear eigenvalues

被引:41
|
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
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
收藏
页码:437 / 451
页数:15
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