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math.AP2025
The Optimal Hölder Exponent in Massari's Regularity Theorem
Thomas Schmidt, Jule Helena Schütt
We determine the optimal Hölder exponent in Massari's regularity theorem for sets with variational mean curvature in . In fact, we obtain regularity with improved ex…
math.AP2024
Isoperimetric conditions, lower semicontinuity, and existence results for perimeter functionals with measure data
Thomas Schmidt
We establish lower semicontinuity results for perimeter functionals with measure data on and deduce the existence of minimizers to these functionals with Dirichlet b…