Globally Lipschitz minimizers for variational problems with linear growth

We study the minimization of convex, variational integrals of linear growth among all functions in the Sobolev space W1,1 with prescribed boundary values (or its equivalent formulation as a boundary value problem for a degenerately elliptic Euler–Lagrange equation). Due to insufficient compactness p...

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Veröffentlicht in:	ESAIM. Control, optimisation and calculus of variations optimisation and calculus of variations, 2018-10, Vol.24 (4), p.1395-1413
Hauptverfasser:	Beck, Lisa, Bulíček, Miroslav, Maringová, Erika
Format:	Artikel
Sprache:	eng
Schlagworte:	35A01 35B65 35J70 49N60 Boundary value problems Calculus of variations Dirichlet problem Euler-Lagrange equation linear growth Lipschitz minimizers Minimal surfaces non-convex domains Sobolev space Variational problems
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