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 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 establish the higher differentiability of integer and fractional order of the solutions to a
class of obstacle problems assuming that the gradient of the obstacle possesses an extra …

We prove estimates of Calderón–Zygmund type for evolutionary p-Laplacian systems in the
setting of Lorentz spaces. We suppose the coefficients of the system to satisfy only a VMO …

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 …

The aim of this paper is to establish an abstract theory based on the so-called fractional-
maximal distribution functions (FMDs). From the basic ideas introduced in [1], we develop …

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 …

We establish the natural Calderón–Zygmund theory for a nonlinear parabolic equation of p-
Laplacian type in divergence form, by essentially proving that for every q∈[1,∞). The …