A survey on the non-occurence of the Lavrentiev gap for convex, autonomous multiple integral scalar variational problems

DOI10.1007/s11228-014-0305-4zbMath1311.49092OpenAlexW2064747661MaRDI QIDQ2018762

Carlo Mariconda, Giulia Treu, Pierre Bousquet

Publication date: 25 March 2015

Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11228-014-0305-4

zbMATH Keywords

regularitystar-shaped domainLipschitz approximationLavrentiev gapintegral scalar variational problems

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60)

Related Items (4)

On a range of exponents for absence of Lavrentiev phenomenon for double phase functionals ⋮ Non-occurrence of the Lavrentiev phenomenon for a class of convex nonautonomous Lagrangians ⋮ Absence and presence of Lavrentiev's phenomenon for double phase functionals upon every choice of exponents ⋮ Lipschitz minimizers for a class of integral functionals under the bounded slope condition

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonoccurrence of the Lavrentiev phenomenon for many nonconvex constrained variational problems
• One-dimensional variational problems whose minimizers do not satisfy the Euler-Lagrange equation
• On Lavrentiev's phenomenon
• 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
• Relaxation of degenerate variational integrals
• On the Bounded Slope Condition and the Validity of the Euler Lagrange Equation
• On the non-occurrence of the Lavrentiev phenomenon
• Abstract convexity and global optimization

This page was built for publication: A survey on the non-occurence of the Lavrentiev gap for convex, autonomous multiple integral scalar variational problems