A non-linear Hodge-de Rham theorem

DOI10.1007/BF02392330zbMath0216.45703OpenAlexW2030192032MaRDI QIDQ2546135

Robert J. Sibner, Lesley M. Sibner

Publication date: 1970

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02392330

Mathematics Subject Classification ID

de Rham theory in global analysis (58A12) Hodge theory in global analysis (58A14)

Related Items (21)

A Maximum Principle for Compressible Flow on a Surface ⋮ Qualitative analysis of very weak solutions to Dirac-harmonic equations ⋮ Yang-Mills fields with nonquadratic energy ⋮ Transonic flow on an axially symmetric torus ⋮ Entire spacelike hypersurfaces of constant mean curvature in Minkowski space ⋮ A regularity result for a class of degenerate Yang-Mills connections in critical dimensions ⋮ Variational equations on mixed Riemannian-Lorentzian metrics ⋮ Nonlinear Hodge maps ⋮ Existence results for the nonlinear Hodge minimal surface energy ⋮ The heat flow in nonlinear Hodge theory ⋮ Schrödinger operators with magnetic fields and minimal action functionals ⋮ Maps and fields with compressible density ⋮ On a class of mappings between Riemannian manifolds ⋮ Regularity for a class of nonlinear elliptic systems ⋮ Nonlinear Hodge theory: applications ⋮ Duality methods for a class of quasilinear systems ⋮ Properties of nonlinear Hodge fields ⋮ An existence theorem for a non-regular variational problem ⋮ A geometric characterization of harmonic diffeomorphisms between surfaces ⋮ Integral estimates for null Lagrangians ⋮ A smooth transonic flow in the plane

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Harmonic fields in Riemannian manifolds (Generalized potential theory)
• Existence and uniqueness of a subsonic flow past a given profile

This page was built for publication: A non-linear Hodge-de Rham theorem