An elliptic inequality for nonlinear Hodge fields

1998/06/10 by Thomas H. Otway, Otway, Thomas H.
Mathematics · Physics and Astronomy · #58E15 #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.DG #math.MP #msc:58E15

paper · pdf · doi:10.48550/arxiv.math-ph/9806007

Six pages, LaTeX. A misleading typographical error in inequality (7) is corrected and a reference added

arxiv created 1998/08/11 · arxiv updated 2009/11/30

Abstract

A version of the nonlinear Hodge equations is introduced in which the irrotationality condition is weakened. An elliptic estimate for solutions is derived.

Related

• Nonlinear Hodge equations in vector bundles
• Hodge equations with change of type
• Nonlinear Hodge correspondence in positive characteristic
• A note on the Hodge conjecture
• Nonlinear Harmonic Bundles