172 citations · 231 across the 17 of their papers we have counts for
20 papers
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…
Optimization of the anisotropic Cheeger constant with respect to the anisotropy
Enea Parini, Giorgio Saracco
Given an open, bounded set in , we consider the minimization of the anisotropic Cheeger constant with respect to the anisotropy , under a volume const…
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}…