LAUSR

We are concerned with the existence of positive nonradial solutions to the following Kirchhoff equation: −a+b∫ℝ3|∇u|2dxΔu+V(|x|)u=Q(|x|)|u|p−1u,x∈ℝ3,$$ -\left(a+b{\int}_{{\mathbb{R}}^3}{\left|\nabla u\right|}^2 dx\right)\Delta u+V\left(|x|\right)u=Q\left(|x|\right){\left|u\right|}^{p-1}u,\kern1em x\in {\mathbb{R}}^3, $$ where a,b>0,10$$ {V}_0,{Q}_0,\theta, \kappa, {d}_1>0 $$ and d2∈ℝ$$ {d}_2\in \mathbb{R} $$ . By introducing the Miranda theorem and developing some delicate analysis, we construct infinitely many positive nonradial multibump solutions of this equation under suitable numbers m,n$$ m,n $$ via the Lyapunov–Schmidt reduction method, whose maximum points lie on the top and bottom circles of a cylinder close to infinity. These nonradial multibump solutions are different from the ones obtained in a previous study. This result complements and extends the previous results in the literature.