most citedExistence theory for linear-growth variational integrals with signed measure data

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math.AP2025★ 1 cited

Existence theory for linear-growth variational integrals with signed measure data

Eleonora Ficola, Thomas Schmidt

We develop a semicontinuity-based existence theory in for a general class of scalar linear-growth variational integrals with additional signed-measure terms. The resu…

math.AP2024

Lower semicontinuity and existence results for anisotropic TV functionals with signed measure data

Eleonora Ficola, Thomas Schmidt

We study the minimization of anisotropic total variation functionals with additional measure terms among functions of bounded variation subject to a Dirichlet boundary condition. M…