172 citations · 231 across the 17 of their papers we have counts for
15 papers · 1 filter
Symmetry of fractional Neumann eigenfunctions in the ball
Vladimir Bobkov, Enea Parini
We investigate symmetry properties of the first nontrivial eigenfunctions of the fractional Laplacian , where , in an -dimensional ball with nonlocal Neuman…
On Hopf's Lemma for sign-changing supersolutions to fractional Laplacian equations
Azahara DelaTorre, Enea Parini
In this paper we investigate the validity of Hopf's Lemma for a (possibly sign-changing) function satisfying \[ (-Δ)^s u(x) \geq c(x)u(x) \quad \text{in }Ω,\] wher…
Uniqueness of least energy solutions to the fractional Lane-Emden equation in the ball
Azahara DelaTorre, Enea Parini
We prove uniqueness of least-energy solutions to the fractional Lane-Emden equation, under homogeneous Dirichlet exterior conditions, when the underlying domain is a ball $B \subse…
Nodal Solutions for sublinear-type problems with Dirichlet boundary conditions
Denis Bonheure, Ederson Moreira dos Santos, Enea Parini +2
We consider nonlinear second order elliptic problems of the type \[ -Δu=f(u) \text{ in } Ω, \qquad u=0 \text{ on } \partial Ω, \] where is an open -domain in $\mathbb{…
Reverse Faber-Krahn inequality for a truncated laplacian operator
Enea Parini, Julio Rossi, Ariel Salort
In this paper we prove a reverse Faber-Krahn inequality for the principal eigenvalue of the fully nonlinear eigenvalue problem \[ \label{eq} \left\{\begin{array}{r c l l}…
Compactness and dichotomy in nonlocal shape optimization
Enea Parini, Ariel Salort
We prove a general result about the behaviour of minimizing sequences for nonlocal shape functionals satisfying suitable structural assumptions. Typical examples include functions…