摘要
Abstract
The existence and multiplicity of solutions to a class of Kirchhoff-Schr?dinger-Poisson system {(1+b∫?3[|▽u|2+V(x)u2]dx)[-Δu+V(x)u]+λφu= K(x)|u|q-2u+f(x,u),x∈?3 ,-Δφ=u2,lim|x|→∞φ(x)=0,x∈?3,is studied,whereλ>0,b ≥0,1<q <2 and f (x ,u )is linearly bounded in u at infinity.With the help of varia-tional methods,the system possesses nontrivial solution is gotten at negative energy.Moreover,the existence and multiplicity of solutions under some assumptions on V ,K and f is proved.关键词
基尔霍夫-薛定谔-泊松方程/变分法/次线性非线性Key words
Kirchhoff-Schrödinger-Poisson equations/variational methods/sublinear nonlinearity分类
数理科学
