13 citations · 47 across the 9 of their papers we have counts for
11 papers
Rigidity estimates for isometric and conformal maps from to
Stephan Luckhaus, Konstantinos Zemas
We investigate both linear and nonlinear stability aspects of rigid motions (resp. Möbius transformations) of among Sobolev maps from into $\m…
Stability estimates for the conformal group of in dimension
Stephan Luckhaus, Konstantinos Zemas
The purpose of this paper is to exhibit a quantitative stability result for the class of Möbius transformations of when . The main estimate is of local…
A Compactness and Structure Result for a Discrete Multi-Well Problem with Symmetry in Arbitrary Dimension
Georgy Kitavtsev, Gianluca Lauteri, Stephan Luckhaus +1
In this note we combine the "spin-argument" from [KLR15] and the -dimensional incompatible, one-well rigidity result from [LL16], in order to infer a new proof for the compactne…
Geometric Rigidity Estimates for Incompatible Fields in Dimension 3
Gianluca Lauteri, Stephan Luckhaus
We prove geometric rigidity inequalities for incompatible fields in dimension higher than 2. We are able to obtain strong scaling-invariant estimates in the supercritical reg…
An Energy Estimate for Dislocation Configurations and the Emergence of Cosserat-Type Structures in Metal Plasticity
Gianluca Lauteri, Stephan Luckhaus
We investigate low energy structures of a lattice with dislocations in the context of nonlinear elasticity. We show that these low energy configurations exhibit in the limit a Coss…
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)…