Positive solutions for nonlinear Schrodinger-Kirchhoff equations in R-3
Positive solutions for nonlinear Schrodinger-Kirchhoff equations in R-3
复制标题
R-3 中非线性薛定谔-基尔霍夫方程的正解
DOI：
10.1016/j.aml.2020.106274
复制
发表时间：
2020
影响因子：
3.7
通讯作者：
Wu Yue
中科院分区：
文献类型：
--
作者：
Chen Wei;Fu Zunwei;Wu Yue
本文利用变分方法研究了R3中具有纯幂非线性项的非线性Schrödinger-Kirchhoff型方程.通过在Nehari流形和Pohozaev流形的组合流形上进行约束极小化，证明了当p∈（1，5）时，该方程正径向解的存在性.本文的结果推广了已有的一些结论，特别是对p∈（1，2].
In this paper, we study the nonlinear Schrödinger–Kirchhoff-type equation with pure power nonlinearities in R 3 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].