An exact multiplicity theorem involving concave-convex nonlinearities and its application to stationary solutions of a singular diffusion problem

被引：14

作者：

Wang, SH ^{[1
]}

Long, DM ^{[1
]}

机构：

[1] Natl Tsing Hua Univ, Dept Math, Hsinchu 300, Taiwan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 44卷 / 04期

关键词：

bifurcation positive solution; two-point boundary value problem; time map; singular diffusion equation; plasma equation;

D O I：

10.1016/S0362-546X(99)00272-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The exact multiplicity of positive solutions of the two-point Dirichlet boundary value problem is presented. The Dirichlet problem where L>0 is a bifurcation parameter and the nonlinearity F∈C2(0, ∞) intersection C[0, ∞) satisfies a number of theories. The solutions effectively solve the concave-convex polynomial nonlinearities.

引用

页码：469 / 486

页数：18

共 15 条

[1] STABILIZATION OF SOLUTIONS OF A DEGENERATE NON-LINEAR DIFFUSION PROBLEM [J].