Differential inclusions for differential forms

DOI10.1007/s00526-006-0049-6zbMath1136.49006OpenAlexW2081301040MaRDI QIDQ869262

José Matias, Ana Cristina Barroso, Saugata Bandyopadhyay, Bernard Dacorogna

Publication date: 2 March 2007

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

Full work available at URL: http://infoscience.epfl.ch/record/129676

zbMATH Keywords

curl\(k\)-formsnecessary and sufficient conditions for the existence of solutions

Mathematics Subject Classification ID

Variational inequalities (49J40)

Related Items (4)

On the equilibrium set of magnetostatic energy by differential inclusion ⋮ Theoretical developments in the study of partial differential equations ⋮ Some new results on differential inclusions for differential forms ⋮ Calculus of variations with differential forms

Cites Work

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• Necessary and sufficient conditions for existence of solutions of a variational problem involving the curl
• On total differential inclusions
• A necessary and sufficient condition for nonattainment and formation of microstructure almost everywhere in scalar variational problems
• On minima of a functional of the gradient: necessary conditions
• On minima of a functional of the gradient: sufficient conditions
• Convex Analysis

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