摘要
本文利用临界点理论讨论二阶拟线性椭圆型方程Dirichlet问题的多重解的存在性。我们先证明了一类偶泛函存在着无穷多个临界点,然后证明了一类强非线性椭圆型方程正解的存在性。
This paper deals with the existence of the multiple solutions for the second order quasilinear elliptic equation by the critical point theory. First, the author proves that a class of even functionals possess infinitely many critical points; then,. the author studies the existence of the positive solution for some class of strongly nonlinear elliptic equations.
出处
《华南理工大学学报（自然科学版）》
EI
CAS
CSCD
1989年第2期102-114,共13页
Journal of South China University of Technology(Natural Science Edition)
关键词
椭圆方程
多重解
critical point theory
elliptic equation
multiple solution
positive solution
