On the properties of some nonlinear eigenvalues

被引：43
|
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.
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页码：437 / 451
页数：15
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