Non-occurrence of gap for one-dimensional non-autonomous functionals

DOI10.1007/s00526-022-02391-5zbMath1504.49032arXiv2201.06155OpenAlexW4313315646MaRDI QIDQ2680544

Carlo Mariconda

Publication date: 4 January 2023

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

Full work available at URL: https://arxiv.org/abs/2201.06155

zbMATH Keywords

Lavrentiev phenomenon

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (1)

The basic problem of the calculus of variations: Du Bois-Reymond equation, regularity of minimizers and of minimizing sequences

Cites Work

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• Lipschitz regularity of the minimizers of autonomous integral functionals with discontinuous non-convex integrands of slow growth
• One-dimensional variational problems whose minimizers do not satisfy the Euler-Lagrange equation
• On the Lavrentiev phenomenon
• On the Lavrentiev phenomenon and the validity of Euler-Lagrange equations for a class of integral functionals
• Autonomous integral functionals with discontinuous nonconvex integrands: Lipschitz regularity of minimizers, BuBois-Reymond necessary conditions, and Hamilton-Jacobi equations
• Reparametrizations and approximate values of integrals of the calculus of variations.
• On the minimum problem for a class of non-coercive functionals
• A Du Bois-Reymond convex inclusion for nonautonomous problems of the calculus of variations and regularity of minimizers
• Non-occurrence of the Lavrentiev phenomenon for a class of convex nonautonomous Lagrangians
• A new variational inequality in the calculus of variations and Lipschitz regularity of minimizers
• On the Lavrentiev phenomenon for multiple integral scalar variational problems
• Nonoccurrence of the Lavrentiev phenomenon for nonconvex variational problems
• Property (D) and the Lavrentiev phenomenon
• Functional Analysis, Calculus of Variations and Optimal Control
• Regularity Properties of Solutions to the Basic Problem in the Calculus of Variations
• On The Lavrentiev Phenomenon
• An Indirect Method in the Calculus of Variations
• The classical problem of the calculus of variations in the autonomous case: Relaxation and Lipschitzianity of solutions
• Equi-Lipschitz minimizing trajectories for non coercive, discontinuous, non convex Bolza controlled-linear optimal control problems

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