26 citations · 61 across the 16 of their papers we have counts for
3 papers · 1 filter
Classification of fractional, singular Yamabe metrics on a twice punctured sphere I
João Henrique Andrade, Azahara DelaTorre, João Marcos do Ò +2
The Delaunay metrics form a family of conformally flat, constant fractional Q-curvature metrics on a twice-punctured sphere. They are all (after a Möbius transformation) rotational…
A note on the first Steklov eigenvalue on planar domains
Azahara DelaTorre, Gabriele Mancini, Angela Pistoia +1
We consider the first positive Steklov eigenvalue on planar domains. First, we provide an example of a planar domain for which a first eigenfunction has a closed nodal line. Second…
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…