On the Dirichlet problem for variational integrals in BV

DOI10.1515/CRELLE.2011.188zbMath1260.49079OpenAlexW2317282132MaRDI QIDQ4905969

Thomas Schmidt, Lisa Beck

Publication date: 21 February 2013

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crelle.2011.188

zbMATH Keywords

Dirichlet problemuniquenessregularizationmaximum principlesapproximationlocal boundednesslinear growthspace of functions of bounded variationsemi-continuitygeneralized minimizers\(N\)-parameter-family of minimizersvariational integrals in BV

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Regularity of solutions in optimal control (49N60) Existence theories for optimal control problems involving partial differential equations (49J20)

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