Existence and multiplicity of solutions for generalized asymptotically linear Schrödinger-Kirchhoff equations

Existence and multiplicity of solutions for generalized asymptotically linear Schrödinger-Kirchhoff equations

In this paper, we investigate the nonlinear Schrödinger-Kirchhoff equations on the whole space. By using the Morse index of the reduced Schrödinger operator, we show the existence and multiplicity of solutions for this problem with asymptotically linear nonlinearity via variational methods.

Bibliographic Details
Main Authors: Yuan Shan, Baoqing Liu
Format: Article
Language:English
Published: AIMS Press 2021-04-01
Series:AIMS Mathematics
Subjects:
schrödinger-kirchhoff equation
morse index
variational method
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2021361?viewType=HTML

Internet

https://www.aimspress.com/article/doi/10.3934/math.2021361?viewType=HTML

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