We consider a class of non-uniformly nonlinear elliptic equations whose model is given by−
div (| D u| p− 2 D u+ a (x)| D u| q− 2 D u)=− div (| F| p− 2 F+ a (x)| F| q− 2 F) where p< q and a …

Regularity of minima: An invitation to the dark side of the calculus of variations | SpringerLink
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Gradient estimates via non-linear potentials Page 1 Gradient estimates via non-linear
potentials Frank Duzaar, Giuseppe Mingione American Journal of Mathematics, Volume 133 …

We show sharp local a priori estimates and regularity results for possibly degenerate non-
linear elliptic problems, with data not lying in the natural dual space. We provide a precise …

Gradient potential estimates Page 1 DOI 10.4171/JEMS/258 J. Eur. Math. Soc. 13, 459–486 c
European Mathematical Society 2011 Giuseppe Mingione Gradient potential estimates …

This paper concerns the existence of global weak solutions to the barotropic compressible
Navier-Stokes equations with degenerate viscosity coefficients. We construct suitable …

We establish a series of optimal regularity results for solutions to general non-linear
parabolic systems\[u_t-\mathrm {div}\a (x, t, u, Du)+ H= 0\,,\] under the main assumption of …

We consider a nonlinear and non-uniformly elliptic problem in divergence form on a
bounded domain. The problem under consideration is characterized by the fact that its …

We prove fine higher regularity results of Calder\'on-Zygmund-type for equations involving
nonlocal operators modelled on the fractional $ p $-Laplacian with possibly discontinuous …

We establish the natural Calderón and Zygmund theory for solutions of elliptic and parabolic
obstacle problems involving possibly degenerate operators in divergence form of p …