Existence theory for linear-growth variational integrals with signed measure data
Year: 2025
Type: article
Abstract: We develop a semicontinuity-based existence theory in BV \smash{\mathrm{BV}} for a general class of scalar linear-growth variational integrals with additional signed-measure terms. The results extend and refine previous considerations for anisotropic total variations and area-type cases, and they pave the way for a variational approach to the corresponding Euler–Lagrange equations, which involve the signed measure as right-hand-side datum.
Authors: Eleonora Ficola, Thomas Schmidt
Institution: Universität Hamburg
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,712
OpenAlex ID: W4414408928