2 citations · 2 across the 4 of their papers we have counts for
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Lipschitz bounds for integral functionals with -growth conditions
Peter Bella, Mathias Schäffner
We study local regularity properties of local minimizer of scalar integral functionals of the form where the convex integrand satis…
Quantitative stochastic homogenization of nonlinearly elastic, random laminates
Stefan Neukamm, Mathias Schäffner, Mario Varga
In this paper we study quantitative stochastic homogenization of a nonlinearly elastic composite material with a laminate microstructure. We prove that for deformations close to th…
Derivation of a homogenized bending--torsion theory for rods with micro-heterogeneous prestrain
Robert Bauer, Stefan Neukamm, Mathias Schäffner
In this paper we investigate rods made of nonlinearly elastic, composite--materials that feature a micro-heterogeneous prestrain that oscillates (locally periodic) on a scale that…
Local boundedness and Harnack inequality for solutions of linear non-uniformly elliptic equations
Peter Bella, Mathias Schäffner
We study local regularity properties for solutions of linear, non-uniformly elliptic equations. Assuming certain integrability conditions on the coefficient field, we prove local b…
Lipschitz estimates and existence of correctors for nonlinearly elastic, periodic composites subject to small strains
Stefan Neukamm, Mathias Schäffner
We consider periodic homogenization of nonlinearly elastic composite materials. Under suitable assumptions on the stored energy function (frame indifference; minimality, non-degene…