Property (D) and the Lavrentiev phenomenon

DOI10.1080/00036811.2015.1057703zbMath1456.49003OpenAlexW2323034012MaRDI QIDQ2805634

Dean A. Carlson

Publication date: 12 May 2016

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2015.1057703

zbMATH Keywords

calculus of variationsLavrentiev phenomenonproperty (D)

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for free problems in one independent variable (49J05)

Related Items (4)

Non-occurrence of gap for one-dimensional non-autonomous functionals ⋮ The basic problem of the calculus of variations: Du Bois-Reymond equation, regularity of minimizers and of minimizing sequences ⋮ Minimizers for nonconvex variational problems in the plane via convex/concave rearrangements ⋮ Equi-Lipschitz minimizing trajectories for non coercive, discontinuous, non convex Bolza controlled-linear optimal control problems

Cites Work

• Sopra il problema dell'approssimazione delle curve dello spazio e degli integrali
• On the Lavrentiev phenomenon
• A note on approximation of optimal solutions of free problems of the calculus of variations
• Interpretation of the Lavrentiev phenomenon by relaxation
• On the Lavrentiev phenomenon and the validity of Euler-Lagrange equations for a class of integral functionals
• Closure theorems without seminormality conditions
• On the conditions under which the Euler equation or the maximum principle hold
• Nonoccurrence of the Lavrentiev phenomenon for nonconvex variational problems
• Singular minimizers for regular one-dimensional problems in the calculus of variations
• On The Lavrentiev Phenomenon

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