Positive solutions for nonlinear Schrödinger–Kirchhoff equations in [formula omitted

Abstract

In this paper, we study the nonlinear Schrödinger–Kirchhoff-type equation with pure power nonlinearities in R3 by variational methods. By carrying out the constrained minimization on a special manifold which is a combination of the Nehari manifold and Pohozaev manifold, we proved the existence of positive radial solutions of this equation for the power p∈(1,5). The results of this paper extend some existing conclusions, especially for p∈(1,2].