SPECTRAL ASYMPTOTICS FOR NONLINEAR STURM-LIOUVILLE PROBLEMS

被引：6

作者：

SHIBATA, T

机构：

[1] Department of Mathematics, Aichi Prefectural University, Mizuho-ku Nagoya 467 Japan

来源：

FORUM MATHEMATICUM | 1995年 / 7卷 / 02期

关键词：

D O I：

10.1515/form.1995.7.207

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider nonlinear Sturm-Liouville problems with power nonlinearities. We shall establish an asymptotic formula of eigenvalues with respect to the L(2) norm of corresponding eigenfunctions. Our result is deeply connected with the properties of ground state of the corresponding equation.

引用

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页码：207 / 224

页数：18

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