Showing 2025Show all
2 papers · 1 filter
math.FA2025
On the domains of first order differential operators on the Sierpiński gasket
Waldemar Schefer
We study the first order structure of -differential one-forms on the Sierpiński gasket. We consider piecewise energy finite functions related to one-forms, normal parts, and s…
math.AP2025
Optimal Hölder regularity for solutions to Signorini-type obstacle problems
Ki-Ahm Lee, Se-Chan Lee, Waldemar Schefer
We study the existence, uniqueness, and regularity of weak solutions to a class of obstacle problems, where the obstacle condition can be imposed on a subset of the domain. In part…