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^(...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)).展开更多
基金supported by NSF of China(11871253)supported by Jiangxi Provincial Natural Science Foundation(20212ACB201003)+1 种基金Jiangxi Two Thousand Talents Program(jxsq2019101001)Double-high talents in Jiangxi Province and Jiangxi Provincial Department of Education Fund(GJJ191687).
文摘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)).
