译 名：
Existence of Multiple Solutions for a Class of Nonlocal Near Resonance Problems
作 者：
WANG Yue;LIANG Jin-ping;SUO Hong-min;School of Data Science and Information Engineering,Guizhou Minzu University;
关键词：
nonlocal problem;;near resonance;;variational method;;Ekeland's variational principle;;multiple solution
摘 要：
In this paper,we use the variational method to study the following nonlocal problems in the smooth bounded domain Ω,which are determined by the constant a,b>0,the parameter λ>0 and the continuous function f(x,u):{-(a-b integral from Ω|▽u|~2 dx)Δu+bλu~3=f(x,u) x ∈ Ω u=0 x ∈Ω The existence and multiple solutions are obtained for this class of problems with near resonance by the Ekeland variational principle and a mountain pass lemma.
