Existence and multiplicity of solutions for nonlocal Schrödinger–Kirchhoff equations of convex–concave type with the external magnetic field

We are concerned with the following elliptic equations $ \begin{equation*} K(|z|^p_{s, {A}})(-\Delta)^s_{p, A}z+ V(x)|z|^{p-2}z = a(x)|z|^{r-2}z+\lambda f(x, |z|)z \quad {\rm{in}} \; \; \mathbb{R}^{N}, \end{equation*} $ where $ (-\Delta)^{s}_{p, A} $ is the fractional magnetic operator, $ K:\mat...

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Bibliographic Details
Main Authors: Seol Vin Kim, Yun-Ho Kim
Format: Article
Language:English
Published: AIMS Press 2022-01-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022367?viewType=HTML