Non occurrence of the Lavrentiev gap for a class of nonautonomous functionals

DOI10.1007/S10231-024-01444-0MaRDI QIDQ6618008

Pierre Bousquet, Giulia Treu, Carlo Mariconda

Publication date: 11 October 2024

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

Lavrentiev phenomenonmultiple integrals calculus of variations

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Existence theories for free problems in two or more independent variables (49J10)

Cites Work

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• Lavrentiev gap for some classes of generalized Orlicz functions
• Recent developments in problems with nonstandard growth and nonuniform ellipticity
• Modular density of smooth functions in inhomogeneous and fully anisotropic Musielak-Orlicz-Sobolev spaces
• Absence of Lavrentiev gap for non-autonomous functionals with \((p,q)\)-growth
• On the Lavrentiev phenomenon for multiple integral scalar variational problems
• On a range of exponents for absence of Lavrentiev phenomenon for double phase functionals
• On density of smooth functions in weighted Sobolev spaces with variable exponents
• Non occurence of the Lavrentiev gap for multidimensional autonomous problems
• No Lavrentiev gap for some double phase integrals

Related Items (1)

Nonoccurrence of Lavrentiev gap for a class of functionals with nonstandard growth

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