The weak repulsion property

DOI10.1016/j.matpur.2007.06.002zbMath1127.49006OpenAlexW2098846660MaRDI QIDQ2463634

Alessandro Ferriero

Publication date: 14 December 2007

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2007.06.002

zbMATH Keywords

variational problemsLavrentiev phenomenonrepulsion propertysingular phenomena

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Methods involving semicontinuity and convergence; relaxation (49J45) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30)

Cites Work

• One-dimensional variational problems whose minimizers do not satisfy the Euler-Lagrange equation
• The Approximation of Higher-Order Integrals of the Calculus of Variations and the Lavrentiev Phenomenon
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