Exterior convexity and classical calculus of variations

DOI10.1051/COCV/2015007zbMath1343.49022arXiv1712.00278OpenAlexW2071401445MaRDI QIDQ2808047

Saugata Bandyopadhyay, Swarnendu Sil

Publication date: 26 May 2016

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.00278

zbMATH Keywords

quasiconvexitycalculus of variationspolyconvexitydifferential formexterior formrank one convexityexterior convexity

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Differential forms in global analysis (58A10) Existence theories in calculus of variations and optimal control (49J99)

Related Items (5)

Notions of affinity in calculus of variations with differential forms ⋮ Quasiconvexity, null Lagrangians, and Hardy space integrability under constant rank constraints ⋮ Polyconvexity for functions of a system of closed differential forms ⋮ Quasiconvexity and relaxation in optimal transportation of closed differential forms ⋮ Calculus of variations with differential forms

Cites Work

• Calculus of variations with differential forms
• Notions of affinity in calculus of variations with differential forms
• Direct methods in the calculus of variations

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