Morse indices and exact multiplicity of solutions to semilinear elliptic problems

被引：16

作者：

Shi, JP ^{[1
]}

Wang, JP

机构：

[1] Tulane Univ, Dept Math, New Orleans, LA 70118 USA

[2] Brigham Young Univ, Dept Math, Provo, UT 84602 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1999年 / 127卷 / 12期

关键词：

exact multiplicity; bifurcation; eigenvalue comparison;

D O I：

10.1090/S0002-9939-99-05542-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain precise global bifurcation diagrams for both one-sign and sign-changing solutions of a semilinear elliptic equation, for the nonlinearity being asymptotically linear. Our method combines the bifurcation approach and spectral analysis.

引用

页码：3685 / 3695

页数：11

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