281 citations · 2.1k across the 125 of their papers we have counts for
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A global higher regularity result for the static relaxed micromorphic model on smooth domains
Dorothee Knees, Sebastian Owczarek, Patrizio Neff
We derive a global higher regularity result for weak solutions of the linear relaxed micromorphic model on smooth domains. The governing equations consist of a linear elliptic syst…
The Gamma limit of the simple shear problem in nonlinear Cosserat elasticity
Thomas Blesgen, Patrizio Neff
The zero and first order Gamma-limit of vanishing internal length scale are studied for the mechanical energy of a shear problem in geometrically nonlinear Cosserat elasticity. The…
Korn-Maxwell-Sobolev inequalities for general incompatibilities
Franz Gmeineder, Peter Lewintan, Patrizio Neff
We establish a family of coercive Korn-type inequalities for generalised incompatible fields in the superlinear growth regime under sharp criteria. This extends and unifies several…
Linear constrained Cosserat-shell models including terms up to . Conditional and unconditional existence and uniqueness
Ionel-Dumitrel Ghiba, Patrizio Neff
In this paper we linearise the recently introduced geometrically nonlinear constrained Cosserat-shell model. In the framework of the linear constrained Cosserat-shell model, we pro…
Regularity for a geometrically nonlinear flat Cosserat micropolar membrane shell with curvature
Andreas Gastel, Patrizio Neff
We consider the rigorously derived thin shell membrane -limit of a three-dimensional isotropic geometrically nonlinear Cosserat micropolar model and deduce full interior regular…
A local regularity result for the relaxed micromorphic model based on inner variations
Dorothee Knees, Sebastian Owczarek, Patrizio Neff
In this paper we study local higher regularity properties of a linear elliptic system that is coupled with a system of Maxwell-type. The regularity result is proved by means of a m…