A note on approximation of optimal solutions of free problems of the calculus of variations

DOI10.1007/BF02844099zbMath0445.49006MaRDI QIDQ1145347

Thomas S. Angell

Publication date: 1979

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

approximations for free problems

Mathematics Subject Classification ID

Existence theories for free problems in two or more independent variables (49J10)

Related Items (14)

On the Lavrentiev phenomenon for autonomous second-order integrands ⋮ The Lavrentiev phenomenon for invariant variational problems ⋮ Nonoccurrence of the Lavrentiev phenomenon for many nonconvex constrained variational problems ⋮ A criterion for continuity of an integral functional on a sequence of functions ⋮ The Lavrentieff phenomenon for quadratic functionals ⋮ Generic nonoccurrence of the Lavrentiev phenomenon for a class of optimal control problems ⋮ Minimizers for nonconvex variational problems in the plane via convex/concave rearrangements ⋮ Interpretation of the Lavrentiev phenomenon by relaxation ⋮ Property (D) and the Lavrentiev phenomenon ⋮ Nonoccurrence of gap for infinite-dimensional control problems with nonconvex integrands ⋮ Nonoccurrence of the Lavrentiev phenomenon for nonconvex variational problems ⋮ Comparison results for some types of relaxation of variational integral functionals ⋮ One-dimensional variational problems whose minimizers do not satisfy the Euler-Lagrange equation ⋮ On the Lavrentiev phenomenon

Cites Work

• Sopra il problema dell'approssimazione delle curve dello spazio e degli integrali
• Closure theorems without seminormality conditions
• Convexity and Property (Q) in Optimal Control Theory
• Problemi di valori al contorno per equazioni differenziali ordinarie
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