A new variational inequality in the calculus of variations and Lipschitz regularity of minimizers

DOI10.1016/j.jde.2019.09.011zbMath1432.49005OpenAlexW2974674213MaRDI QIDQ2285477

Piernicola Bettiol, Carlo Mariconda

Publication date: 8 January 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2019.09.011

zbMATH Keywords

maximum principleregularitycalculus of variationsnonautonomousproximalLipschitzWeierstrassDu Bois-ReymondErdmannTonelli-Morrey

Mathematics Subject Classification ID

Variational inequalities (49J40)

Related Items (9)

Some regularity properties on Bolza problems in the calculus of variations ⋮ Regularity and necessary conditions for a Bolza optimal control problem ⋮ 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 ⋮ Equi-Lipschitz minimizing trajectories for non coercive, discontinuous, non convex Bolza controlled-linear optimal control problems ⋮ A Du Bois-Reymond convex inclusion for nonautonomous problems of the calculus of variations and regularity of minimizers ⋮ Unnamed Item ⋮ On a new necessary condition in the calculus of variations for Lagrangians that are highly discontinuous in the state and velocity ⋮ Uniform boundedness for the optimal controls of a discontinuous, non-convex Bolza problem,

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