Nodal solutions for a sublinear elliptic equation

被引：26
|
作者：
Balabane, M
Dolbeault, J
Ounaies, H
机构：
[1] Univ Paris 13, Dept Math, Inst Galilee, F-93430 Villetaneuse, France
[2] Univ Paris 09, CEREMADE, UMR CNRS 7534, F-75775 Paris 16, France
[3] Fac Sci Monastir, Dept Math, Monastir 5019, Tunisia
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2003年 / 52卷 / 01期
关键词：
nodal solutions; shooting; Hamiltonian systems; winding number;
D O I：
10.1016/S0362-546X(02)00104-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider radial solutions of Deltau + u - \u\(-20) u = 0 in R-d with d > 1, theta is an element of (0,(1)/(2)) and prove by a shooting method the existence of compactly supported solutions with any given number of nodes. (C) 2002 Elsevier Science Ltd. All rights reserved.
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页码：219 / 237
页数：19
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