On the Fredholm alternative for the p-Laplacian

被引：19

作者：

Binding, PA ^{[1
]}

Drabek, P

Huang, YX

机构：

[1] Univ Calgary, Dept Math & Stat, Calgary, AB T2N 1N4, Canada

[2] Univ W Bohemia, Dept Math, Pilsen 30614, Czech Republic

[3] Memphis State Univ, Dept Math Sci, Memphis, TN 38152 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1997年 / 125卷 / 12期

关键词：

Fredholm alternative; the p-Laplacian;

D O I：

10.1090/S0002-9939-97-03992-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Consider {-(\u'\(p-2)u')' = lambda\u\(p-2)u+f(x), x is an element of (0, 1), u(0) = beta u'(0, u'(1)=0, where p > 1 and beta is an element of R boolean OR {infinity} and let lambda(1) be the principal eigenvalue of the problem with f(x) = 0. For lambda = lambda(1), we discuss for which values of p and beta the Fredholm alternative holds.

引用

页码：3555 / 3559

页数：5