A double phase problem with a bounded Borel measure on the right hand side is studied.
We prove an optimal pointwise gradient estimate for such a measure data problem via Riesz …

We consider solutions of p (x)-Laplacian systems with coefficients and we show that their
gradient is continuous provided that the variable exponent has distributional gradient …

We establish pointwise estimates expressed in terms of a nonlinear potential of a
generalized Wolff type for $ A $-superharmonic functions with nonlinear operator …

We prove gradient Riesz potential estimates for nonlinear elliptic systems with subquadratic
growth of the form− div (A (x, D u))= f, adopting ε-regularity criteria to the non-homogeneous …

We investigate elliptic irregular obstacle problems with p-growth involving measure data.
Emphasis is on the strongly singular case 1< p≤ 2− 1/n, and we obtain several new …

We study solutions to measure data elliptic systems with Uhlenbeck-type structure that
involve operator of divergence form, depending continuously on the spacial variable, and …

We investigate a quasilinear elliptic equation with variable growth in a bounded nonsmooth
domain involving a signed Radon measure. We obtain an optimal global Calderón …

We study the regularity theory of quasi-minimizers of functionals with L p⁢(⋅)⁢ log⁡ L-
growth. In particular, we prove the Harnack inequality and, in addition, the local …

We study gradient regularity for mixed local-nonlocal problems modelled upon\[-\Delta_p
u+(-\Delta_p)^ su=\mu\qquad\text {for}\quad 2-\tfrac {1}{n}< p<\infty\quad\text {and}\quad s\in …

In this paper, we consider the existence and uniqueness of solutions for a quasilinear elliptic
equation with a variable exponent and a reaction term depending on the gradient. Based on …