35 citations · 62 across the 5 of their papers we have counts for
5 papers · 1 filter
Optimal rigidity estimates for maps of a compact Riemannian manifold to itself
Sergio Conti, Georg Dolzmann, Stefan Müller
Let be a smooth, compact, connected, oriented Riemannian manifold, and let be an isometric embedding. We show that a Sobolev map which…
Almost conical deformations of thin sheets with rotational symmetry
Stefan Müller, Heiner Olbermann
It has been found in numerical experiments that when one removes a sector from an elastic sheet and glues the edges of the sector back together, the resulting configuration is radi…
Korn's second inequality and geometric rigidity with mixed growth conditions
Sergio Conti, Georg Dolzmann, Stefan Müller
Geometric rigidity states that a gradient field which is -close to the set of proper rotations is necessarily -close to a fixed rotation, and is one key estimate in nonli…
On a differential inclusion related to the Born-Infeld equations
Stefan Müller, Mariapia Palombaro
We study a partial differential relation that arises in the context of the Born-Infeld equations (an extension of the Maxwell's equations) by using Gromov's method of convex integr…
Singular kernels, multiscale decomposition of microstructure, and dislocation models
Sergio Conti, Adriana Garroni, Stefan Müller
We consider a model for dislocations in crystals introduced by Koslowski, Cuitiño and Ortiz, which includes elastic interactions via a singular kernel behaving as the nor…