Non occurence of the Lavrentiev gap for multidimensional autonomous problems

DOI10.2422/2036-2145.202105_060zbMath1528.49033OpenAlexW4223637931MaRDI QIDQ6072117

Pierre Bousquet

Publication date: 29 November 2023

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2422/2036-2145.202105_060

zbMATH Keywords

calculus of variationsminimizationRadon-Nikodym derivativehypographLavrentiev gappartial convolutionboundary approximation

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Vector-valued set functions, measures and integrals (28B05) Integration and disintegration of measures (28A50)

Related Items (1)

Absence and presence of Lavrentiev's phenomenon for double phase functionals upon every choice of exponents

Cites Work

• A duality theory for non-convex problems in the calculus of variations
• Multiple integrals in the calculus of variations
• Interpretation of the Lavrentiev phenomenon by relaxation
• On the Lavrentiev phenomenon for multiple integral scalar variational problems
• The Nonoccurrence of the Lavrentiev Phenomenon for a Class of Variational Functionals
• Regularity Properties of Solutions to the Basic Problem in the Calculus of Variations
• On the relaxation of some classes of dirichlet minimum problems
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