The Liouville property for entire local minimizers from the space $BV_{\mathrm{loc}}(\R^2,\R^N)$ of variational integrals with linear growth
Year: 2026
Type: preprint
Abstract: We consider functions $u : \R^2 \rightarrow \R^N$ from the class $\Bloc$ which locally minimize the relaxed version of a variational integral with a strictly convex density being in addition of linear growth. It turns out that the boundedness of entire local minimizers $u$ implies their constancy.
Source: arXiv (Cornell University)
Authors: Bildhauer, Michael, Fuchs, Martin
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221811237