关于半线性椭圆共振问题的注记

A Note on a Semilinear Elliptic Problem at Resonance

本文应用Ｍｏｒｓｅ理论和惩罚性技巧研究了一类半线性椭圆方程在无穷远处和在原点处都共振情形下非平凡解的存在性．

In this paper, we study the existence of nontrivial solutions of a semilinear elliptic equation with bounded nonlinear term when the problem is resonant at both infinity and the zero. The methods used here are the well-known Morse theory and a penalization technique.