The global-in-time existence of bounded weak solutions to a large class of physically
relevant, strongly coupled parabolic systems exhibiting a formal gradient-flow structure is …

We consider the evolution problem associated with a convex integrand f: R^ Nn → 0, ∞)
satisfying a non-standard p, q-growth assumption. To establish the existence of solutions we …

We show how to infer sharp partial regularity results for relaxed minimizers of degenerate,
nonuniformly elliptic quasiconvex functionals, using tools from Nonlinear Potential Theory. In …

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

The aim of the paper is twofold. On one hand we want to present a new technique called $ p
$-caloric approximation, which is a proper generalization of the classical compactness …

We consider parabolic equations of the type∂ tu− div a (x, t, D u)= 0 on a parabolic space–
time cylinder Ω T. The vector field a is assumed to satisfy a non-standard p, q-growth …

We consider a double phase problem with BMO coefficient in divergence form on a bounded
nonsmooth domain. The problem under consideration is characterized by the fact that both …

Calderón–Zygmund estimates for parabolic p(x, t)-Laplacian systems Page 1 Rev. Mat. Iberoam.
30 (2014), no. 4, 1355–1386 doi 10.4171/rmi/817 c European Mathematical Society …

We prove Calderón-Zygmund type estimates for distributional solutions to non-uniformly
elliptic equations of generalized double phase type in divergence form. In particular, we …