Existence and non-existence of solutions of the mean field equations on flat tori

Zhijie Chen; Ting Jung Kuo; Chang Shou Lin

doi:10.1090/proc/13543

Existence and non-existence of solutions of the mean field equations on flat tori

Zhijie Chen, Ting Jung Kuo, Chang Shou Lin

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We prove the existence or non-existence of solutions of the mean field equation (1.1) with n = 1 or n = 2 for a rectangular torus E. It is interesting to see that the results depend on the location of the half period (Formula Presented.).

Original language	English
Pages (from-to)	3989-3996
Number of pages	8
Journal	Proceedings of the American Mathematical Society
Volume	145
Issue number	9
DOIs	https://doi.org/10.1090/proc/13543
Publication status	Published - 2017

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Access to Document

10.1090/proc/13543

Cite this

@article{de305866fdb7430d81295bcefc276058,

title = "Existence and non-existence of solutions of the mean field equations on flat tori",

abstract = "We prove the existence or non-existence of solutions of the mean field equation (1.1) with n = 1 or n = 2 for a rectangular torus E. It is interesting to see that the results depend on the location of the half period (Formula Presented.).",

author = "Zhijie Chen and Kuo, {Ting Jung} and Lin, {Chang Shou}",

note = "Publisher Copyright: {\textcopyright} 2017 American Mathematical Society.",

year = "2017",

doi = "10.1090/proc/13543",

language = "English",

volume = "145",

pages = "3989--3996",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "9",

}

TY - JOUR

T1 - Existence and non-existence of solutions of the mean field equations on flat tori

AU - Chen, Zhijie

AU - Kuo, Ting Jung

AU - Lin, Chang Shou

PY - 2017

Y1 - 2017

N2 - We prove the existence or non-existence of solutions of the mean field equation (1.1) with n = 1 or n = 2 for a rectangular torus E. It is interesting to see that the results depend on the location of the half period (Formula Presented.).

AB - We prove the existence or non-existence of solutions of the mean field equation (1.1) with n = 1 or n = 2 for a rectangular torus E. It is interesting to see that the results depend on the location of the half period (Formula Presented.).

UR - http://www.scopus.com/inward/record.url?scp=85021431451&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85021431451&partnerID=8YFLogxK

U2 - 10.1090/proc/13543

DO - 10.1090/proc/13543

M3 - Article

AN - SCOPUS:85021431451

SN - 0002-9939

VL - 145

SP - 3989

EP - 3996

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 9

ER -

Existence and non-existence of solutions of the mean field equations on flat tori

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this