A Class of Critical Magnetic Fractional Kirchhoff Problems

In this paper, we deal with the existence and asymptotic behavior of solutions for a fractional Kirchhoff type problem involving the electromagnetic fields and critical nonlinearity by using the classical critical point theorem. Meanwhile, an example is given to illustrate the application of the mai...

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Main Authors: Jiabin Zuo, Tianqing An, Guoju Ye
Format: Article
Language:English
Published: MDPI AG 2020-01-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/12/1/76
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author Jiabin Zuo
Tianqing An
Guoju Ye
author_facet Jiabin Zuo
Tianqing An
Guoju Ye
author_sort Jiabin Zuo
collection DOAJ
description In this paper, we deal with the existence and asymptotic behavior of solutions for a fractional Kirchhoff type problem involving the electromagnetic fields and critical nonlinearity by using the classical critical point theorem. Meanwhile, an example is given to illustrate the application of the main result.
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spelling doaj.art-faaacff3bf4e4244896ee558f272671e2022-12-22T02:21:57ZengMDPI AGSymmetry2073-89942020-01-011217610.3390/sym12010076sym12010076A Class of Critical Magnetic Fractional Kirchhoff ProblemsJiabin Zuo0Tianqing An1Guoju Ye2College of Science, Hohai University, Nanjing 211100, ChinaCollege of Science, Hohai University, Nanjing 211100, ChinaCollege of Science, Hohai University, Nanjing 211100, ChinaIn this paper, we deal with the existence and asymptotic behavior of solutions for a fractional Kirchhoff type problem involving the electromagnetic fields and critical nonlinearity by using the classical critical point theorem. Meanwhile, an example is given to illustrate the application of the main result.https://www.mdpi.com/2073-8994/12/1/76magnetic operatorcritical nonlinearitiesfractional kirchhoff type problemsvariational methods
spellingShingle Jiabin Zuo
Tianqing An
Guoju Ye
A Class of Critical Magnetic Fractional Kirchhoff Problems
Symmetry
magnetic operator
critical nonlinearities
fractional kirchhoff type problems
variational methods
title A Class of Critical Magnetic Fractional Kirchhoff Problems
title_full A Class of Critical Magnetic Fractional Kirchhoff Problems
title_fullStr A Class of Critical Magnetic Fractional Kirchhoff Problems
title_full_unstemmed A Class of Critical Magnetic Fractional Kirchhoff Problems
title_short A Class of Critical Magnetic Fractional Kirchhoff Problems
title_sort class of critical magnetic fractional kirchhoff problems
topic magnetic operator
critical nonlinearities
fractional kirchhoff type problems
variational methods
url https://www.mdpi.com/2073-8994/12/1/76
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