Communications in Mathematical Physics

, Volume 68, Issue 3, pp 259–273 | Cite as

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

  • T. Jonsson
  • O. McBryan
  • F. Zirilli
  • J. Hubbard


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.


Differential Equation Neural Network Statistical Physic Complex System Partial Differential Equation 
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Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • T. Jonsson
    • 1
  • O. McBryan
    • 1
  • F. Zirilli
    • 1
  • J. Hubbard
    • 2
  1. 1.Harvard UniversityCambridgeUSA
  2. 2.Cornell UniversityIthacaUSA

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