6 papers · 1 filter
Local boundedness for -Laplacian with degenerate coefficients
Peter Bella, Mathias Schäffner
We study local boundedness for subsolutions of nonlinear nonuniformly elliptic equations whose prototype is given by , where the variabl…
Stochastic homogenization and geometric singularities : a study on corners
Marc Josien, Claudia Raithel, Mathias Schäffner
In this contribution we are interested in the quantitative homogenization properties of linear elliptic equations with homogeneous Dirichlet boundary data in polygonal domains with…
Onset of fracture in random heterogeneous particle chains
Laura Lauerbach, Stefan Neukamm, Mathias Schäffner +1
In mechanical systems it is of interest to know the onset of fracture in dependence of the boundary conditions. Here we study a one-dimensional model which allows for an underlying…
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…
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…
On the regularity of minimizers for scalar integral functionals with -growth
Peter Bella, Mathias Schäffner
We revisit the question of regularity for minimizers of scalar autonomous integral functionals with so-called -growth. In particular, we establish Lipschitz regularity under…