On principal eigenvalues for boundary value problems with indefinite weight and Robin boundary conditions

被引：62

作者：

Afrouzi, GA

Brown, KJ

机构：

[1] Mazandaran Univ, Fac Bacic Sci, Dept Math, Babolsar, Iran

[2] Heriot Watt Univ, Dept Math, Edinburgh EH14 4AS, Midlothian, Scotland

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1999年 / 127卷 / 01期

关键词：

indefinite weight function; principal eigenvalues;

D O I：

10.1090/S0002-9939-99-04561-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the existence of principal eigenvalues (i.e., eigenvalues corresponding to positive eigenfunctions) for the boundary value problem -Delta u(x) = lambda g(x)u(x) on D; partial derivative u/partial derivative u(x) + alpha u(x) = 0 on partial derivative D, where D is a bounded region in R-N, g is an indefinite weight function and alpha is an element of R may be positive, negative or zero.

引用

页码：125 / 130

页数：6