On the Lavrentiev phenomenon and the validity of Euler-Lagrange equations for a class of integral functionals

DOI10.1006/jmaa.1994.1183zbMath0818.49011OpenAlexW2067728323MaRDI QIDQ1331003

Giulia Treu, Sandro Zagatti

Publication date: 17 August 1994

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1994.1183

zbMATH Keywords

integral functionalsEuler-Lagrange equationLavrentiev phenomenon

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Optimality conditions for free problems in one independent variable (49K05)

Related Items

Non-occurrence of gap for one-dimensional non-autonomous functionals ⋮ Equi-Lipschitz minimizing trajectories for non coercive, discontinuous, non convex Bolza controlled-linear optimal control problems ⋮ Property (D) and the Lavrentiev phenomenon