A MULTIPLICITY RESULT FOR A CLASS OF ELLIPTIC BOUNDARY-VALUE-PROBLEMS

被引：88

作者：

AMANN, H

HESS, P

机构：

[1] Mathematisches Institut, Universitat Zurich, Freiestrasse 36

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1979年 / 84卷

关键词：

D O I：

10.1017/S0308210500017017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a mildly nonlinear elliptic boundary value problem depending on a parameter. Given appropriate hypotheses concerning the asymptotic behaviour of the nonlinearity, we derive lower bounds on the number of solutions. The results complement an earlier theorem due to Kazdan and Warner [6]. © 1979, Royal Society of Edinburgh. All rights reserved.

引用

页码：145 / 151

页数：7

共 6 条

[1] FIXED-POINT EQUATIONS AND NONLINEAR EIGENVALUE PROBLEMS IN ORDERED BANACH-SPACES [J].