一类椭圆型方程边值问题的可解性

Solvability of Boundary Value Problems of a Class of Elliptic Equations

本文利用不动点定理上下解方法研究了一类椭圆方程非线性项在无穷远处分别为次线性、渐近线性和超线性解的存在性、不存在性以及解的唯一性。

In this paper,the existence,nonexistence and uniqueness theorems of positive solutions to a class of elliptic equations are proved by fixed point theorem and the sub-super solution method,with the nonlinear item being sub-linear,asymptotically linear and super-linear at infinity.