On \(k\)-surfaces minimizing a functional with a convex Lagrangian in \(\mathbb{R}^ n\)
The autor investigates some properties of \(k\)-surfaces in \(n\)-dimensional Euclidean space \(\mathbb{R}^ n\) minimizing a functional given by a convex parallel Lagrangian. In particular, the author obtains a sufficient condition for minimality of a compact oriented \(k\)-surface with a boundary in \(\mathbb{R}^ n\).
scientific article; zbMATH DE number 35225