Asymptotic of Eigenvalues and Lattice Points

被引：0

作者：

Juan Pablo Pinasco

机构：

[1] Universidad Nacional de General Sarmiento,Instituto de Ciencias

[2] ,undefined

来源：

Acta Mathematica Sinica | 2006年 / 22卷

关键词：

–Laplacian; eigenvalues; lattice points; 35P20; 35P30;

D O I：

暂无

中图分类号：

学科分类号：

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：5

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