Differentiability properties of the minimal average action

DOI10.1007/BF01189396zbMath0835.58013OpenAlexW2028164886MaRDI QIDQ1894806

W. M. Senn

Publication date: 25 April 1996

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

Full work available at URL: https://doi.org/10.1007/bf01189396

zbMATH Keywords

differentiabilityvariational problemconvexityminimizationsurface energy

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Convexity of real functions of several variables, generalizations (26B25) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (7)

Planelike minimizers in periodic media ⋮ A variational principle for pulsating standing waves and an Einstein relation in the sharp interface limit ⋮ Differentiability properties of the minimal average action ⋮ Plane-like minimizers and differentiability of the stable norm ⋮ Mañé's conjectures in codimension 1 ⋮ Aubry sets and the differentiability of the minimal average action in codimension one ⋮ Existence and structure of extremals for one-dimensional nonautonomous variational problems

Cites Work

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• A uniqueness theorem for \(Z^ n\)-periodic variational problems
• The existence of gaps in minimal foliations
• On minimal laminations of the torus
• Über Mosers regularisiertes Variationsproblem für minimale Blätterungen des \(n\)-dimensionalen Torus. (Moser's regularized variational problem for minimal foliations of the \(n\)-dimensional torus)
• Geodesic rays, Busemann functions and monotone twist maps
• Expansiveness, hyperbolicity and Hausdorff dimension
• Differentiability properties of the minimal average action
• Strikte Konvexität für Variationsprobleme auf dem \(n\)-dimensionalen Torus. (Strict convexity for variational problems on the \(n\)-dimensional torus)
• Convex functions and upper semi-continuous collections
• Monotone twist mappings and the calculus of variations
• A stability theorem for minimal foliations on a torus
• Metric properties of minimal solutions of discrete periodical variational problems
• Differentiability of the minimal average action as a function of the rotation number
• Convex Analysis
• Some Theorems on the Free Energies of Crystal Surfaces

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