有界洞形区域上一类半线性椭圆型方程的可解性(英文)

Solvability for Certain Semilinear Elliptic Equations in the Bounded Domain With a Hole

论文在有界洞形区域上讨论半线性Laplace方程正解的存在性、唯一性和非存在性 ,并给出了相应的例子 .用以论证的主要工具是Schauder不动点定理和上下解方法 .

In this paper, the existence, uniquness and nonexistence of the positive solutions to a class of semilinear elliptic equations are proved. The main tools to prove our theorems are the sub supersolution method and the Schauder fixed point theorem.