2 papers
math.AP2025
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
Partial regularity for variational integrals with Morrey-Hölder zero-order terms, and the limit exponent in Massari's regularity theorem
Thomas Schmidt, Jule Helena Schütt
We revisit the partial regularity theory for minimizers of non-parametric integrals with emphasis on sharp dependence of the Hölder exponent on structural as…