The generalized neumann problem for yang-mills connections

DOI10.1080/03605309908821437zbMath0926.58020OpenAlexW2076370798MaRDI QIDQ4242985

Antonella Marini

Publication date: 29 November 1999

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309908821437

zbMATH Keywords

Yang-Mills connectionsNeumann-type problems for formstwisted boundary value problem

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Elliptic equations on manifolds, general theory (58J05) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Boundary value problems on manifolds (58J32)

Related Items (6)

Initial behavior of solutions to the Yang-Mills heat equation ⋮ The Yang-Mills heat semigroup on three-manifolds with boundary ⋮ A BOUNDARY VALUE PROBLEM FOR MONOPOLES OVER A 3-DIMENSIONAL DISK ⋮ Equivalence of helicity and Euclidean self-duality for gauge fields ⋮ Neumann domination for the Yang-Mills heat equation ⋮ The Yang-Mills heat equation with finite action in three dimensions

Cites Work

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• An existence theorem for a non-regular variational problem
• Connections with \(L^ p \)bounds on curvature
• Nonlinear Hodge theory: applications
• Regularity theory for the generalized Neumann problem for Yang-Mills connections -- non-trivial examples in dimensions 3 and 4
• Differential forms in manifolds with boundary
• Harmonic tensors on Riemannian manifolds with boundary
• Dirichlet and neumann boundary value problems for Yang-Mills connections
• Removable singularities in Yang-Mills fields

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