ON THE QUESTION OF REGULARITY OF THE SOLUTIONS OF VARIATIONAL PROBLEMS

DOI10.1070/SM1993v075n02ABEH003397zbMath0782.49025OpenAlexW2040166667MaRDI QIDQ4031197

Mikhail A. Sychev

Publication date: 1 April 1993

Published in: Russian Academy of Sciences. Sbornik Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1993v075n02abeh003397

zbMATH Keywords

existencecalculus of variationsEuler-Lagrange equationregularity propertiesHölder condition

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60)

Related Items (11)

Relaxation and nonoccurrence of the Lavrentiev phenomenon for nonconvex problems ⋮ Variations, approximation, and low regularity in one dimension ⋮ Variational field theory from the point of view of direct methods ⋮ Unnamed Item ⋮ Pathological solutions to the Euler-Lagrange equation and existence/regularity of minimizers in one-dimensional variational problems ⋮ A condition on the value function both necessary and sufficient for full regularity of minimizers of one-dimensional variational problems ⋮ Local minimizers of one-dimensional variational problems and obstacle problems ⋮ A one-dimensional variational problem with continuous Lagrangian and singular minimizer ⋮ Another theorem of classical solvability `in small' for one-dimensional variational problems ⋮ Universal singular sets in the calculus of variations ⋮ Direct methods in variational field theory

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