EIGENVALUES OF WEIGHTED p-LAPLACIAN

被引：1
|
作者：
Wang, Lihan [1 ]
机构：
[1] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2013年 / 141卷 / 12期
关键词：
p-Laplacian; eigenvalue; smooth metric space;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In a paper by Z. Lu and J. Rowlett, it is shown that the eigenvalues of the weighted Laplacian can be approximated by eigenvalues of a naturally associated family of narrow graphs. In this paper, we generalize this result to the p-Laplacian. Our approach features overcoming the nonlinearity of the p-Laplacian when p not equal 2, which is different from the Laplacian case.
引用
收藏
页码：4357 / 4370
页数：14
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