The range of the p-Laplacian

被引：9
|
作者：
Binding, PA
Drabek, P
Huang, YX
机构：
[1] UNIV W BOHEMIA,DEPT MATH,PLZEN 30614,CZECH REPUBLIC
[2] UNIV MEMPHIS,DEPT MATH SCI,MEMPHIS,TN 38152
来源：
APPLIED MATHEMATICS LETTERS | 1997年 / 10卷 / 06期
基金：
加拿大自然科学与工程研究理事会;
关键词：
the p-Laplacian; Fredholm alternative; range;
D O I：
10.1016/S0893-9659(97)00108-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that for lambda greater than or equal to 0, p greater than or equal to 3, there exists an open ball B subset of L-2(0, 1) such that the problem - (\ u'\(p-2)u')' -lambda \ u \(p-2)u = f, in (0,1), subject to certain separated boundary conditions on (0, 1), has a solution for f is an element of B.
引用
收藏
页码：77 / 82
页数：6
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