THE SPECTRUM OF THE 1-LAPLACE OPERATOR

被引：42

作者：

Chang, Kung Ching ^{[1
]}

机构：

[1] Peking Univ, LMAM, Sch Math Sci, Beijing 100871, Peoples R China

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2009年 / 11卷 / 05期

关键词：

1-Laplace operator; nonsmooth critical point theory; bounded variation function; eigenvalue problem; CRITICAL-POINT THEORY;

D O I：

10.1142/S0219199709003570

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The eigenfunction of the 1-Laplace operator is defined to be a critical point in the sense of the strong slope for a nonsmooth constraint variational problem. We completely write down all these eigenfunctions for the 1-Laplace operator on intervals.

引用

页码：865 / 894

页数：30

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