拟线性椭圆型方程的多重解  

MULTIPLE SOLUTIONS FOR QUASILINEAR ELLITIC EQUATIONS

作　　者：严树森[1] 

机构地区：[1]华南理工大学应用数学系

出　　处：《华南理工大学学报（自然科学版）》1989年第2期102-114,共13页Journal of South China University of Technology(Natural Science Edition)

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.

关 键 词：椭圆方程 多重解 

分 类 号：O175.25[理学—数学]