A FRACTIONAL CRITICAL PROBLEM WITH SHIFTING SUBCRITICAL PERTURBATION  

作　　者：Qi LI Chang-Lin XIANG 李奇;向长林(College of Science,Wuhan University of Science and Technology,Wuhan 430065,China;Three Gorges Mathematical Research Center,China Three Gorges University,Yichang 443002,China)

机构地区：[1]College of Science,Wuhan University of Science and Technology,Wuhan 430065,China [2]Three Gorges Mathematical Research Center,China Three Gorges University,Yichang 443002,China

出　　处：《Acta Mathematica Scientia》2022年第3期1113-1124,共12页数学物理学报（B辑英文版）

基　　金：supported by the excellent doctorial dissertation cultivation grant(2018YBZZ067)from Central China Normal University;financially supported by the National Natural Science Foundation of China(11701045);the Yangtze Youth Fund(2016cqn56)。

摘　　要：In this paper,we consider a class of fractional problem with subcritical perturbation on a bounded domain as follows:(P_(k)){(−△)^(s)u = g(x)[(u − k)+]^(q−1) +u^(2^(∗)_(s)−1), x ∈Ω ,u > 0, x∈Ω ,u = 0, x ∈Ω R^(N)\Ω. We prove the existence of nontrivial solutions u_(k) of(P_(k))for each k∈(0,∞).We also investigate the concentration behavior of the solutions u_(k) as k→∞.

关 键 词：Subcritical perturbation nontrivial solutions CONCENTRATION 

分 类 号：O175[理学—数学]