Yang-Mills fields with nonquadratic energy

DOI10.1016/0393-0440(95)00038-0zbMath0879.58013OpenAlexW1996763506WikidataQ127933487 ScholiaQ127933487MaRDI QIDQ1922663

Thomas H. Otway

Publication date: 25 January 1998

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(95)00038-0

zbMATH Keywords

\(p\)-harmonic mapsYang-Mills equations

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (4)

A regularity result for a class of degenerate Yang-Mills connections in critical dimensions ⋮ Variational equations on mixed Riemannian-Lorentzian metrics ⋮ Nonlinear Hodge maps ⋮ Properties of nonlinear Hodge fields

Cites Work

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• An existence theorem for a non-regular variational problem
• Existence of solutions for a generalized Yang-Mills theory
• A sub-elliptic estimate for a class of invariantly defined elliptic systems
• Connections with \(L^ p \)bounds on curvature
• Regularity for a class of nonlinear elliptic systems
• Homotopy theory of infinite dimensional manifolds
• A non-linear Hodge-de Rham theorem
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Mappings minimizing theLp norm of the gradient
• Dirichlet and neumann boundary value problems for Yang-Mills connections
• Accumulation-point singularities of low-energy gauge fields
• Removable singularities in Yang-Mills fields

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