Improved existence results of solutions to the gravitational Maxwell gauged O(3) sigma model

Kyungwoo Song

doi:10.1090/proc/12967

Improved existence results of solutions to the gravitational Maxwell gauged O(3) sigma model

Kyungwoo Song

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

7 Citations (Scopus)

Abstract

We improve the existence result of finite energy solutions to the self-dual equations of the gravitational Maxwell gauged O(3) sigma model in (2+1)-dimensional Minkowski space for arbitrary location of strings for a small gravitational constant using the standard super– and subsolution method. We construct an explicit supersolution and use the weighted Sobolev space for a subsolution.

Original language	English
Pages (from-to)	3499-3505
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	144
Issue number	8
DOIs	https://doi.org/10.1090/proc/12967
Publication status	Published - 2016

Bibliographical note

Publisher Copyright:
© 2015 American Mathematical Society.

Keywords

Super– and subsolution method
The gravitational Maxwell gauged O(3) sigma model
Weighted Sobolev space

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10.1090/proc/12967

Cite this

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title = "Improved existence results of solutions to the gravitational Maxwell gauged O(3) sigma model",

abstract = "We improve the existence result of finite energy solutions to the self-dual equations of the gravitational Maxwell gauged O(3) sigma model in (2+1)-dimensional Minkowski space for arbitrary location of strings for a small gravitational constant using the standard super– and subsolution method. We construct an explicit supersolution and use the weighted Sobolev space for a subsolution.",

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AU - Song, Kyungwoo

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AB - We improve the existence result of finite energy solutions to the self-dual equations of the gravitational Maxwell gauged O(3) sigma model in (2+1)-dimensional Minkowski space for arbitrary location of strings for a small gravitational constant using the standard super– and subsolution method. We construct an explicit supersolution and use the weighted Sobolev space for a subsolution.

KW - Super– and subsolution method

KW - The gravitational Maxwell gauged O(3) sigma model

KW - Weighted Sobolev space

UR - https://www.scopus.com/pages/publications/84969869900

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DO - 10.1090/proc/12967

M3 - Article

AN - SCOPUS:84969869900

SN - 0002-9939

VL - 144

SP - 3499

EP - 3505

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 8

ER -

Improved existence results of solutions to the gravitational Maxwell gauged O(3) sigma model

Abstract

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Keywords

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