Linking and multiplicity results for the p-Laplacian on unbounded cylinders

被引：19
|
作者：
Fan, XL [1 ]
Zhao, YZ [1 ]
机构：
[1] Lanzhou Univ, Dept Math, Lanzhou 730000, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2001年 / 260卷 / 02期
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1006/jmaa.2000.7468
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the p-Laplacian problem -Delta (p)u = lambdaa(x)/u/(p-2)u + f(x,u) in Ohm, u is an element of W-0(1,p)(Ohm), on unbounded cylinders Ohm = <(<Ohm>)over tilde> x RN-m subset of R-N, N - m greater than or equal to 2, where Delta (p)u = div(/delu/(p-2)delu), lambda is a constant in a certain range, and a is an element of L-N/p(Ohm) boolean AND L-infinity(Ohm) is nonnegative, a not equal 0. Using the principle of symmetric criticality, existence and multiplicity are proved under suitable conditions on a and f. (C) 2001 Academic Press.
引用
收藏
页码：479 / 489
页数：11
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