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→∞.
作者
李奇
向长林
Qi LI;Chang-Lin XIANG(College of Science,Wuhan University of Science and Technology,Wuhan 430065,China;Three Gorges Mathematical Research Center,China Three Gorges University,Yichang 443002,China)
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)。
