ON THE RAYLEIGH QUOTIENT AND THE FIRST EIGENVALUE FOR SOME VECTOR-VALUED VARIATIONAL PROBLEMS

被引：0

作者：

Brock, Friedemann ^{[1
]}

Manasevich, R. ^{[2
]}

机构：

[1] Univ Chile, Fac Ciencias, Dept Matemat, Santiago, Chile

[2] Univ Chile, Ctr Modelamiento Matemat, Dept Ingn Matemat, Santiago, Chile

来源：

DIFFERENTIAL AND INTEGRAL EQUATIONS | 2007年 / 20卷 / 04期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that the first eigenvalue of a vector-valued p-Laplacian problem is equal to the first eigenvalue of the corresponding scalar p-Laplacian, and that the components of its first eigenvectors are merely copies of the first eigenfunction of the scalar problem. We also show variants of this result for some other homogeneous vector-valued problems.

引用

页码：429 / 443

页数：15

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