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.
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页码：1645 / 1650
页数：5
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