Lipschitz minimizers for a class of integral functionals under the bounded slope condition

DOI10.1016/J.NA.2021.112689zbMath1480.49019arXiv2010.00782OpenAlexW3217585330MaRDI QIDQ2069842

Giulia Treu, Sebastiano Don, Luca Lussardi, Andrea Pinamonti

Publication date: 21 January 2022

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.00782

zbMATH Keywords

minimization problemrelaxationfunctions of bounded variationHeisenberg groupsbounded slope condition

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Methods involving semicontinuity and convergence; relaxation (49J45) Functions of bounded variation, generalizations (26A45) Sub-Riemannian geometry (53C17)

Related Items (3)

On the Lipschitz Regularity for Minima of Functionals Depending on $x$, $u$, and $\nabla{u}$ under the Bounded Slope Condition ⋮ The bounded slope condition for parabolic equations with time-dependent integrands ⋮ Existence and structure of \(P\)-area minimizing surfaces in the Heisenberg group

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