Bubbling string solutions for the self-dual Einstein–Maxwell–Higgs equation

Jongmin Han; Juhee Sohn

doi:10.1016/j.jmaa.2018.11.011

Bubbling string solutions for the self-dual Einstein–Maxwell–Higgs equation

Jongmin Han
, Juhee Sohn

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

3 Citations (Scopus)

Abstract

In this article, we establish the existence of type I nontopological bubbling solutions for the Einstein–Maxwell–Higgs equation in R². Our solutions bubble at some string points and the local profile near those points comes from the radially symmetric solutions. We also prove that such bubbling solutions cannot exist on compact surfaces.

Original language	English
Pages (from-to)	728-751
Number of pages	24
Journal	Journal of Mathematical Analysis and Applications
Volume	471
Issue number	1-2
DOIs	https://doi.org/10.1016/j.jmaa.2018.11.011
Publication status	Published - Mar 2019

Bibliographical note

Publisher Copyright:
© 2018 Elsevier Inc.

Keywords

Bubbling solutions
Self-dual Einstein–Maxwell–Higgs equation

Access to Document

10.1016/j.jmaa.2018.11.011

Cite this

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title = "Bubbling string solutions for the self-dual Einstein–Maxwell–Higgs equation",

abstract = "In this article, we establish the existence of type I nontopological bubbling solutions for the Einstein–Maxwell–Higgs equation in R2. Our solutions bubble at some string points and the local profile near those points comes from the radially symmetric solutions. We also prove that such bubbling solutions cannot exist on compact surfaces.",

keywords = "Bubbling solutions, Self-dual Einstein–Maxwell–Higgs equation",

author = "Jongmin Han and Juhee Sohn",

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year = "2019",

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doi = "10.1016/j.jmaa.2018.11.011",

language = "English",

volume = "471",

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T1 - Bubbling string solutions for the self-dual Einstein–Maxwell–Higgs equation

AU - Han, Jongmin

AU - Sohn, Juhee

PY - 2019/3

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N2 - In this article, we establish the existence of type I nontopological bubbling solutions for the Einstein–Maxwell–Higgs equation in R2. Our solutions bubble at some string points and the local profile near those points comes from the radially symmetric solutions. We also prove that such bubbling solutions cannot exist on compact surfaces.

AB - In this article, we establish the existence of type I nontopological bubbling solutions for the Einstein–Maxwell–Higgs equation in R2. Our solutions bubble at some string points and the local profile near those points comes from the radially symmetric solutions. We also prove that such bubbling solutions cannot exist on compact surfaces.

KW - Bubbling solutions

KW - Self-dual Einstein–Maxwell–Higgs equation

UR - https://www.scopus.com/pages/publications/85056235646

U2 - 10.1016/j.jmaa.2018.11.011

DO - 10.1016/j.jmaa.2018.11.011

M3 - Article

AN - SCOPUS:85056235646

SN - 0022-247X

VL - 471

SP - 728

EP - 751

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1-2

ER -

Bubbling string solutions for the self-dual Einstein–Maxwell–Higgs equation

Abstract

Bibliographical note

Keywords

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