Asymptotic behavior of the eigenvalues of the one-dimensional weighted p-Laplace operator

被引：23

作者：

Bonder, JF

Pinasco, JP

机构：

[1] Univ Buenos Aires, RA-1428 Buenos Aires, DF, Argentina

[2] Univ San Andres, RA-1684 Buenos Aires, DF, Argentina

来源：

ARKIV FOR MATEMATIK | 2003年 / 41卷 / 02期

关键词：

D O I：

10.1007/BF02390815

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the spectral counting function for the weighted p-laplacian in one dimension. First, we prove that all the eigenvalues can be obtained by a minimax characterization and then we show the existence of a Weyl-type leading term. Finally we find estimates for the remainder term.

引用

页码：267 / 280

页数：14

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