摘要
利用上、下解方法及不动点等理论研究了带小边值条件的半线性Laplace方程正解的存在性及不存在性,获得该类方程解的存在性条件和不存性条件,并给出实例验证了所得结果。
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.
出处
《安庆师范学院学报（自然科学版）》
2016年第2期6-8,共3页
Journal of Anqing Teachers College(Natural Science Edition)
关键词
上、下解
全连续算子
不动点定理
sub-super solution
completely continuous operator
fixed point theorem
