摘要
本文讨论边值问题其中ΩR^N为具有光滑边界的有界区域;在u=∞处非线性项,其中,得到结果是:当h_1,f满足某些条件,那么此问题至少存在非平凡解。
In this paper, we censider the following problem:
where Ω RN is a smooth bounded domain, p = 2α≥2, f(x,u)=O(|u|q-1) at u=∞ uniformly for x∈Ω, q =Np/(N-p).
We prove that the problem (1) has at least one nontrivial solutions when h and f satisfy some conditions.
出处
《杭州大学学报（自然科学版）》
CSCD
1989年第2期139-149,共11页
Journal of Hangzhou University Natural Science Edition
关键词
拟线性
椭圆方程
临界指数
存在性
quasilinear elliptic equation
critical exponent
existence of solution
