An existence theorem for multimeron solutions to classical Yang-Mills field equations

Þórður Jónsson; O. McBryan; F. Zirilli; J. Hubbard

doi:10.1007/BF01221127

An existence theorem for multimeron solutions to classical Yang-Mills field equations

Þórður Jónsson, O. McBryan, F. Zirilli, J. Hubbard

Faculty of Physical Sciences

University of Iceland

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

Abstract

In this paper we prove the existence of solutions to a class of boundary value problems for a singular nonlinear elliptic partial differential equation in a half plane. By a recent paper of J. Glimm and A. Jaffe, this proves the existence of multimeron solutions to the classical SU(2) Yang-Mills field equations in Euclidean space.

Original language	English
Pages (from-to)	259-273
Number of pages	15
Journal	Communications in Mathematical Physics
Volume	68
Issue number	3
DOIs	https://doi.org/10.1007/BF01221127
Publication status	Published - Oct 1979

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title = "An existence theorem for multimeron solutions to classical Yang-Mills field equations",

abstract = "In this paper we prove the existence of solutions to a class of boundary value problems for a singular nonlinear elliptic partial differential equation in a half plane. By a recent paper of J. Glimm and A. Jaffe, this proves the existence of multimeron solutions to the classical SU(2) Yang-Mills field equations in Euclidean space.",

author = "{\TH}{\'o}r{\dh}ur J{\'o}nsson and O. McBryan and F. Zirilli and J. Hubbard",

note = "{\textcopyright} 1979 Springer-Verlag. Supported in part by the National Science Foundation under Grant PHY 77-18762 Supported in part by the Icelandic Science Foundation Supported in part by Grant MCS 76-06524",

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AU - Jónsson, Þórður

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AU - Zirilli, F.

AU - Hubbard, J.

PY - 1979/10

Y1 - 1979/10

N2 - In this paper we prove the existence of solutions to a class of boundary value problems for a singular nonlinear elliptic partial differential equation in a half plane. By a recent paper of J. Glimm and A. Jaffe, this proves the existence of multimeron solutions to the classical SU(2) Yang-Mills field equations in Euclidean space.

AB - In this paper we prove the existence of solutions to a class of boundary value problems for a singular nonlinear elliptic partial differential equation in a half plane. By a recent paper of J. Glimm and A. Jaffe, this proves the existence of multimeron solutions to the classical SU(2) Yang-Mills field equations in Euclidean space.

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JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 3

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An existence theorem for multimeron solutions to classical Yang-Mills field equations

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