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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…
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…
Inverse of divergence and homogenization of compressible Navier-Stokes equations in randomly perforated domains
Peter Bella, Florian Oschmann
We analyze behavior of weak solutions to compressible fluid flows in a bounded domain in , randomly perforated by tiny balls with random size. Assuming the radii of t…
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…
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…
Effective Multipoles in Random media
Peter Bella, Arianna Giunti, Felix Otto
In a homogeneous medium, the far-field generated by a localized source can be expanded in terms of multipoles; the coefficients are determined by the moments of the localized charg…