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.

引用

页码：219 / 237

页数：19

共 28 条

[1] EXISTENCE OF STANDING WAVES FOR DIRAC FIELDS WITH SINGULAR NONLINEARITIES [J].