摘要
运用对称形式的山路引理在索伯列夫空间W1,4(Ω)中讨论一类拟线性椭圆型方程的多重解问题.证明了这类拟线性椭圆型方程存在无穷多个广义解.
By using symmetrical mountain pass theorem the authors investigate the existence of multiple solution for a class of quasilinear elliptic equation. The existence of infinitely many generalized solution for the quasilinear elliptic equation in Sobolev W1,4(Ω) is proven.
出处
《四川大学学报(自然科学版)》
CAS
CSCD
北大核心
2003年第5期806-809,共4页
Journal of Sichuan University(Natural Science Edition)
基金
国家自然科学基金
教育部优秀年轻教师基金
关键词
拟线性椭圆型方程
非平凡广义解
对称山路引理
quasilinear elliptic equation
nontrivial generalized solutions
symmetrical mountain pass theorem