Notions of affinity in calculus of variations with differential forms

DOI10.1515/acv-2015-0022zbMath1344.49069arXiv1712.04866OpenAlexW3102704478MaRDI QIDQ2629561

Swarnendu Sil, Saugata Bandyopadhyay

Publication date: 6 July 2016

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.04866

zbMATH Keywords

minimization problemsdifferential formsexterior formexterior convexityext-int. one affine functions

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Differential forms in global analysis (58A10)

Related Items

Regularity for elliptic systems of differential forms and applications ⋮ Calculus of variations: a differential form approach ⋮ Exterior convexity and classical calculus of variations ⋮ Nonlinear Stein theorem for differential forms

Cites Work

• The pullback equation for differential forms
• \(A\)-\(B\) quasiconvexity and implicit partial differential equations
• Necessary and sufficient conditions for existence of solutions of a variational problem involving the curl
• Calculus of variations with differential forms
• Exterior convexity and classical calculus of variations
• Divisibility in Grassmann algebra
• Direct methods in the calculus of variations