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

被引：76

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

页码：567 / 588

页数：22

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