摘要
本文对R^N中有界区域Ω上临界增长拟线性椭圆型方程的Dirichlet问题,在a_i(x,ζ)和f(x,u)满足一定的条件下,证明了非平凡W_0^(1,p)(Ω)广义解的存在性。
In this paper, Dirichlet problemis discussed, in which ΩcR^N is a bounded domain and f(x,u)=O(|ul^(Q-2)u)(u→∞, Q=(NP)/(N-P), N>p≥2 The auther has proved that the psoblem (*) possesses a nontrivial weak solution under given conditions of a_1(x,s) and f(x,u).
出处
《西南石油学院学报》
CSCD
1990年第4期127-139,共13页
Journal of Southwest Petroleum Institute
关键词
拟线性
椭圆方程
临界指数
Quasilinear elliptic equation
Critical exponent
Variational function
Theorem of mountain path
Concentration-compactness principle
