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math.AP2016
Optimal Regularity for the Thin Obstacle Problem with Coefficients
Angkana Rüland, Wenhui Shi
In this article we study solutions to the (interior) thin obstacle problem under low regularity assumptions on the coefficients, the obstacle and the underlying manifold. Combining…
math.AP2016★ 3 cited
Higher Sobolev Regularity of Convex Integration Solutions in Elasticity
Angkana Rüland, Christian Zillinger, Barbara Zwicknagl
In this article we discuss quantitative properties of convex integration solutions arising in problems modeling shape-memory materials. For a two-dimensional, geometrically lineari…
math.AP2015★ 6 cited
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…