Transportation of closed differential forms with non-homogeneous convex costs

DOI10.1007/s00526-018-1376-0zbMath1497.49054OpenAlexW2810779526MaRDI QIDQ1656498

Bernard Dacorogna, Wilfrid Gangbo

Publication date: 10 August 2018

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-018-1376-0

zbMATH Keywords

convex optimizationoptimal transportationdual maximization

Mathematics Subject Classification ID

Convex programming (90C25) Variational problems in a geometric measure-theoretic setting (49Q20) Duality theory (optimization) (49N15) Optimal transportation (49Q22)

Related Items

A potential approach for planning mean-field games in one dimension ⋮ Transportation of closed differential forms with non-homogeneous convex costs ⋮ Towards a theory of multi-parameter geometrical variational problems: Fibre bundles, differential forms, and Riemannian quasiconvexity ⋮ The Lavrentiev phenomenon in calculus of variations with differential forms ⋮ On Optimal Transport of Matrix-Valued Measures ⋮ An integrable example of gradient flow based on optimal transport of differential forms ⋮ Quasiconvexity and relaxation in optimal transportation of closed differential forms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The pullback equation for differential forms
• Relaxation for a class of nonconvex functionals defined on measures
• Integral representation of nonconvex functionals defined on measures
• Convex analysis and measurable multifunctions
• Transportation of closed differential forms with non-homogeneous convex costs
• Symplectic factorization, Darboux theorem and ellipticity
• An integrable example of gradient flow based on optimal transport of differential forms
• New lower semicontinuity results for nonconvex functionals defined on measures
• Convex Analysis
• Optimal transport of closed differential forms for convex costs