Existence results for fractional Kirchhoff problems with magnetic field and supercritical growth-Reference-Cited by-同舟云学术

Existence results for fractional Kirchhoff problems with magnetic field and supercritical growth

Published:2023-03-01 Issue:3 Volume:64 Page:
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:

Author:

Gao Liu¹^ORCID,Tan Zhong¹^ORCID

Affiliation:

1. School of Mathematical Sciences, Xiamen University , Xiamen 361005, Fujian, People’s Republic of China

Abstract

In this paper, we investigate a class of fractional Kirchhoff problems with a magnetic field and supercritical growth. By employing a truncation argument and Moser iterative method, we obtain the existence of nontrivial solutions. Our results are new and supplement the previous ones in the literature.

Funder

National Natural Science Foundation of China

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://pubs.aip.org/aip/jmp/article-pdf/doi/10.1063/5.0127185/16792211/031503_1_online.pdf

Reference26 articles.

1. Hitchhiker’s guide to the fractional Sobolev spaces;Bull. Sci. Math.,2012

2. Ground states for fractional magnetic operators;ESAIM: Control, Optim. Calculus Var.,2018

3. Elliptic problems involving the fractional Laplacian in RN;J. Differ. Equations,2013

4. An extension problem related to the fractional Laplacian;Calculus Var. Partial Differ. Equations,2007

5. Bourgain–Brézis–Mironescu formula for magnetic operators;C. R. Math.,2016

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