3 papers
math.AP2026
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 \[ (-Î)^s u(x) \geq c(x)u(x) \quad \text{in }Ω,\] w…
math.AP2026
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 Neuma…
math.AP2024
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…