Minimizers of functionals of the type w ↦ ∫ Ω [ | D w | p - f w ] d x + ∫ R n ∫ R n | w ( x ) - w (
y ) | γ | x - y | n + s γ d x d y \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} …

We prove some regularity estimates for viscosity solutions to a class of possible degenerate
and singular integro-differential equations whose leading operator switches between two …

We consider the following class of fractional problems with unbalanced growth:{(− Δ) ps
u+(− Δ) qs u+ V (ε x)(| u| p− 2 u+| u| q− 2 u)= f (u) in RN, u∈ W s, p (RN)∩ W s, q (RN), u> 0 …

We prove local boundedness and Hölder continuity for weak solutions to nonlocal double
phase problems concerning the following fractional energy functional∫ R n∫ R n| v (x)− v …

We study the boundary behavior of solutions to the Dirichlet problems for integro-differential
operators with order of differentiability s∈(0, 1) and summability p> 1. We establish a …

We deal with a wide class of nonlinear integro-differential problems in the Heisenberg-Weyl
group H n, whose prototype is the Dirichlet problem for the p-fractional subLaplace equation …

We study the existence and concentration of positive solutions for the following class of
fractional p-Kirchhoff type problems: where ɛ is a small positive parameter, a and b are …

We extend the celebrate De Giorgi-Nash-Moser theory to a wide class of nonlinear
equations driven by nonlocal, possibly degenerate, integro-differential operators, whose …

We study nonlinear measure data problems involving elliptic operators modeled after the
mixed local and nonlocal p-Laplacian. We establish existence, regularity and Wolff potential …

We prove higher Sobolev regularity for bounded weak solutions to a class of nonlinear
nonlocal integro-differential equations. The leading operator exhibits nonuniform growth …