A Compactness Property of the Minimizing Sequences of a Minimal Surfaces Functional

Lucio Boccardo; Thierry Gallouet

Abstract

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.

Author information

Contact details are reproduced from the original publication and may be historical.

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

Keywords

Convexity
minimizing sequences
compactness
nonreflexive spaces
Sobolev space

Mathematics Subject Classification

35J66, 49J45

Suggested citation

L. Boccardo, T. Gallouet. “A Compactness Property of the Minimizing Sequences of a Minimal Surfaces Functional.” Journal of Convex Analysis 32 (2025), No. 1, 189–198.