an:07196216
Zbl 1437.35287
Chen, Wei; Fu, Zunwei; Wu, Yue
Positive solutions for nonlinear Schr??dinger-Kirchhoff equations in \(\mathbb{R}^3\)
EN
Appl. Math. Lett. 104, Article ID 106274, 6 p. (2020).
00448824
2020
j
35J60 35B09 35A01 35A15
Schr??dinger-Kirchhoff-type equations; existence of positive radial solutions; variational methods
Summary: In this paper, we study the nonlinear Schr??dinger-Kirchhoff-type equation with pure power nonlinearities in \(\mathbb{R}^3\) 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 \(p \in (1, 5)\). The results of this paper extend some existing conclusions, especially for \(p \in (1, 2]\).