Multiplicity of positive and nodal solutions for nonlinear elliptic problems in R(N)

被引：67
|
作者：
Cao, DM [1 ]
Noussair, ES [1 ]
机构：
[1] UNIV NEW S WALES,SCH MATH,SYDNEY,NSW 2052,AUSTRALIA
来源：
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 1996年 / 13卷 / 05期
关键词：
nonlinear elliptic problems; multiplicity of solutions;
D O I：
10.1016/S0294-1449(16)30115-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We are concerned with the multiplicity of positive and nodal solutions of {- Delta u + mu u = Q(x)\u\(p-2)u in R(N) u is an element of H-1(R(N)) where 2 < p < 2N/N - 2, N greater than or equal to 3, mu > 0, Q is an element of C(R(N)) and Q(x) greater than or equal to 0 for x is an element of R(N). We show how the ''shape'' of the graph of Q(x) affects the number of both positive and nodal solutions.
引用
收藏
页码：567 / 588
页数：22
相关论文
共 50 条
12345