华中师范大学学报（自然科学版）2017，Vol.51Issue(3)：282-287,6.
一类带次临界指标的双调和方程非平凡解的存在性
The existence of a nontrivial solution for a biharmonic equation with subcritical growth
摘要
Abstract
In this paper,the following biharmonic problem is considered as Δ2u +λu =|u|p-2u,u ∈ H20 (Ω)where Ω is a bounded domain of RN and 2** =2N/N-4,N≥5,2＜p＜ { +∞,N≤ 4.The problem is proved to have a nontrivial solution by applying the mountain pass theorem and the linking theorem respectively according to the different range ofλ.关键词
非平凡解/双调和方程/(PS)c条件Key words
nontrivial solution/biharmonic equation/(PS)c condition分类
数理科学引用本文复制引用
谢定一,骆嵩豪,艾文会..一类带次临界指标的双调和方程非平凡解的存在性[J].华中师范大学学报（自然科学版）,2017,51(3):282-287,6.基金项目
国家自然科学基金项目(11671162). （11671162）
