Existence of nontrivial solutions for Schrödinger-Kirchhoff type equations involving the fractional p-Laplacian and local nonlinearity

Existence of nontrivial solutions for Schrödinger-Kirchhoff type equations involving the fractional p-Laplacian and local nonlinearity

In this paper, we deal with the existence of nontrivial solutions for the following Kirchhoff-type equation where $0 < s < 1 < p < \infty$, $sp < N$, $\lambda > 0$ is a real parameter, $(-\Delta)_{p}^{s}$ is the fractional $p$-Laplacian operator, $V:\m...

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Bibliographic Details
Main Authors: Liu Gao, Chunfang Chen, Jianhua Chen, Chuanxi Zhu
Format: Article
Language:English
Published: AIMS Press 2021-12-01
Series:AIMS Mathematics
Subjects:
fractional p-laplacian
kirchhoff equations
local nonlinearity
moser iteration method
truncation argument
Online Access:http://www.aimspress.com/article/doi/10.3934/math.2021083?viewType=HTML

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http://www.aimspress.com/article/doi/10.3934/math.2021083?viewType=HTML

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