安庆师范学院学报(自然科学版)2016,Vol.22Issue(2):6-8,3.DOI:10.13757/j.cnki.cn34-1150/n.2016.02.003
带小边值条件的半线性椭圆方程的可解性
Solvability for Semilinear Elliptic Equation with Small Boundary Value Conditions
谭波 1钟金标1
作者信息
- 1. 安庆师范大学 数学与计算科学学院,安徽 安庆 246133
- 折叠
摘要
Abstract
In this paper, we prove the existence and non-existence of positive solutions of Semilinear equation with small Boundary value Conditions.By using of the Sub-super solution method and Schauder fixed point theorem , we prove the existence of the solutions.The existence and non-existence conditions of the solutions of the equation are obtained , and two examples to veri-fy the results are given.关键词
上/下解/全连续算子/不动点定理Key words
sub-super solution/completely continuous operator/fixed point theorem分类
数理科学引用本文复制引用
谭波,钟金标..带小边值条件的半线性椭圆方程的可解性[J].安庆师范学院学报(自然科学版),2016,22(2):6-8,3.