A. Farina

activity

20082025

most citedGradient bounds and rigidity results for singular, degenerate, anisotropic partial differential equations

54 citations · 217 across the 31 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.AP2015★ 16 cited

Regularity and rigidity theorems for a class of anisotropic nonlocal operators

Alberto Farina, Enrico Valdinoci

We consider here operators which are sum of (possibly) fractional derivatives, with (possibly different) order. The main constructive assumption is that the operator is of order~$2…

math.AP2015

$f$ -extremal domains in hyperbolic space

José M. Espinar, Alberto Farina, Laurent Mazet

In this paper we study the geometry and the topology of unbounded domains in the Hyperbolic Space $H^{n}$ supporting a bounded positive solution to an overdetermined ellipt…

math.AP2015★ 1 cited

Monotonicity in half-spaces of positive solutions to $- Δ_{p} u = f (u)$ in the case $p > 2$

Alberto Farina, Luigi Montoro, Berardino Sciunzi

We consider weak distributional solutions to the equation $- Δ_{p} u = f (u)$ in half-spaces under zero Dirichlet boundary condition. We assume that the nonlinearity is positive and super…

Regularity and rigidity theorems for a class of anisotropic nonlocal operators

f-extremal domains in hyperbolic space

Monotonicity in half-spaces of positive solutions to −Δp​u=f(u) in the case p>2

$f$ -extremal domains in hyperbolic space

Monotonicity in half-spaces of positive solutions to $- Δ_{p} u = f (u)$ in the case $p > 2$