114 citations · 392 across the 27 of their papers we have counts for
3 papers · 2 filters
Surface Energies Emerging in a Microscopic, Two-Dimensional Two-Well Problem
Georgy Kitavtsev, Stephan Luckhaus, Angkana Rüland
In this article we are interested in the microscopic modeling of a two-dimensional two-well problem which arises from the square-to-rectangular transformation in (two-dimensional)…
The Variable Coefficient Thin Obstacle Problem: Optimal Regularity and Regularity of the Regular Free Boundary
Herbert Koch, Angkana Rüland, Wenhui Shi
This article deals with the variable coefficient thin obstacle problem in dimensions. We address the regular free boundary regularity, the behavior of the solution close to t…
The Variable Coefficient Thin Obstacle Problem: Carleman Inequalities
Herbert Koch, Angkana Rüland, Wenhui Shi
In this article we present a new strategy of addressing the (variable coefficient) thin obstacle problem. Our approach is based on a (variable coefficient) Carleman estimate. This…