3 papers
math.AP2019
Growth conditions and regularity, an optimal local boundedness result
Jonas Hirsch, Mathias Schäffner
We prove local boundedness of local minimizers of scalar integral functionals , where the integrand satisfies -growth of th…
math.AP2019
Mechanical behaviour of heterogeneous nanochains in the -limit of stochastic particle systems
Laura Lauerbach, Stefan Neukamm, Mathias Schäffner +1
Nanochains of atoms, molecules and polymers have gained recent interest in the experimental sciences. This article contributes to an advanced mathematical modeling of the mechanica…
math.PR2019
Quenched invariance principle for random walks among random degenerate conductances
Peter Bella, Mathias Schäffner
We consider the random conductance model in a stationary and ergodic environment. Under suitable moment conditions on the conductances and their inverse, we prove a quenched invari…