In this work, we study the higher differentiability of solutions to the inhomogeneous fractional
$ p $-Laplace equation under different regularity assumptions on the data. In the …

In this article we establish for the first time the $ C^ s $ boundary regularity of solutions to
nonlocal elliptic equations with kernels $ K (y)\asymp| y|^{-n-2s} $. This was known to hold …

In this article we prove for the first time the $ C^ s $ boundary regularity for solutions to
nonlocal elliptic equations with H\" older continuous coefficients in divergence form in …

A Hölder estimate with an optimal tail for nonlocal parabolic p-Laplace equations | Annali di
Matematica Pura ed Applicata (1923 -) Skip to main content SpringerLink Account Menu Find a …

We prove Calder\'on-Zygmund type estimates of weak solutions to non-homogeneous
nonlocal parabolic equations under a minimal regularity requirement on kernel coefficients …

We deal with a wide class of kinetic equations, $$\big [\partial_t+ v\cdot\nabla_x\big]
f=\mathcal {L} _v f. $$ Above, the diffusion term $\mathcal {L} _v $ is an integro-differential …

A general modulus of continuity is quantified for locally bounded, local, weak solutions to
nonlocal parabolic equations, under a minimal tail condition. Hölder modulus of continuity is …

The purpose of this paper is to prove new fine regularity results for nonlocal drift-diffusion
equations via pointwise potential estimates. Our analysis requires only minimal assumptions …

We study local boundedness and Hölder continuity of a parabolic equation involving the
fractional p-Laplacian of order s, with 0< s< 1, 2≤ p<∞, with a general right-hand side. We …

We study the mixed local and nonlocal double phase parabolic equation∂ tu (x, t)− div (a (x,
t)|∇ u| q− 2∇ u)+ L u (x, t)= 0 in QT= Ω×(0, T), where L is the nonlocal p-Laplace type …