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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…
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…
math.AP2019
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…