摘要
This paper deals with the existence of positive solutions to the following nonlinear Kirchhoff equation with perturbed external source terms:{−(a+b∫_(R^(3))|∇u|^(2)dx)Δu+V(x)u=Q(x)u^(p)+εf(x),u>0,x∈R^(3),u∈H^(1)(R^(3)).Here a,b are positive constants,V(x),Q(x)are positive radial potentials,1<p<5,ε>0 is a small parameter,f(x)is an external source term in L^(2)(R^(3))∩L^(∞)(R^(3)).
作者
Narimane AISSAOUI
Wei LONG
Narimane AISSAOUI;龙薇(School of Mathematics and Statistics,Hubei Key Laboratory of Mathematical Sciences,Central China Normal University,Wuhan 430079,China;College of Mathematics and Information Science,Jiangci Normal University,Nanchang 330022,China)
基金
supported by NSF of China(11871253)
supported by Jiangxi Provincial Natural Science Foundation(20212ACB201003)
Jiangxi Two Thousand Talents Program(jxsq2019101001)
Double-high talents in Jiangxi Province and Jiangxi Provincial Department of Education Fund(GJJ191687).
