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20172025
most citedHigher Sobolev Regularity of Convex Integration Solutions in Elasticity: The Dirichlet Problem with Affine Data in

1 citations · 2 across the 6 of their papers we have counts for

collaborators

13 papers

math.AP2025

The energy scaling behaviour of singular perturbation models of staircase type in linearized elasticity for higher order laminates

Lennart Machill, Angkana Rüland

We investigate the scaling behaviour of a singular perturbation model within the geometrically linearized theory of elasticity involving data of higher lamination order. We study b…

math.AP2022

On Rigidity for the Four-Well Problem Arising in the Cubic-to-Trigonal Phase Transformation

Angkana Rüland, Theresa M. Simon

We classify all exactly stress-free solutions to the cubic-to-trigonal phase transformation within the geometrically linearized theory of elasticity, showing that only simple lamin…

math.AP20211 cited

On the Calderón problem for nonlocal Schrödinger equations with homogeneous, directionally antilocal principal symbols

Giovanni Covi, María Ángeles García-Ferrero, Angkana Rüland

In this article we consider direct and inverse problems for -stable, elliptic nonlocal operators whose kernels are possibly only supported on cones and which satisfy the structu…

math.AP2021

Higher Regularity for the Signorini Problem for the Homogeneous, Isotropic Lamé System

Angkana Rüland, Wenhui Shi

In this note we discuss the (higher) regularity properties of the Signorini problem for the homogeneous, isotropic Lamé system. Relying on an observation by Schumann \cite{Schumann…

math.AP2020

On Single Measurement Stability for the Fractional Calderón Problem

Angkana Rüland

In this short note we prove the logarithmic stability of the single measurement uniqueness result for the fractional Calderón problem which had been derived in \cite{GRSU18}. To th…

math.AP2020

On some partial data Calderón type problems with mixed boundary conditions

Giovanni Covi, Angkana Rüland

In this article we consider the simultaneous recovery of bulk and boundary potentials in (degenerate) elliptic equations modelling (degenerate) conducting media with inaccessible b…