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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.AP2019
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…