Journal of Convex Analysis 32 (2025), No. 1, 189--198
Copyright Heldermann Verlag 2025
A Compactness Property of the Minimizing Sequences of a Minimal Surfaces Functional
Lucio Boccardo
(1) Istituto Lombardo, Milano, Italy
(2) Università la Sapienza, Roma, Italy
boccardo@mat.uniroma1.it
Thierry Gallouet
Institut de Mathématiques, Aix-Marseille University, Marseille, France
thierry.gallouet@univ-amu.fr
We prove the compactness, with respect to the convergence in measure, of the gradients of the minimizing sequences of strictly convex and coercive integral functionals having linear growth.
Keywords: Convexity, minimizing sequences, compactness, nonreflexive spaces, Sobolev space.
MSC: 35J66, 49J45.
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