Asymptotic of eigenvalues and lattice points

被引：1

作者：

Pinasco, Juan Pablo ^{[1
]}

机构：

[1] Univ Nacl Gen Sarmiento, Inst Ciencias, RA-1613 Buenos Aires, DF, Argentina

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2006年 / 22卷 / 06期

关键词：

p-Laplacian; eigenvalues; lattice points;

D O I：

10.1007/s10114-005-0761-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we study the spectral counting function for the p-Laplace operator in one dimension. We show the existence of a two-term Weyl-type asymptote. The method of proof is rather elementary, based on the Dirichlet lattice points problem, which enables us to obtain similar results for domains of infinite measure.

引用

页码：1645 / 1650

页数：6

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