2 citations · 2 across the 5 of their papers we have counts for
13 papers · 1 filter
Kazdan-Warner obstructions for a 4order boundary problem
Sergio Cruz-Blázquez, Azahara DelaTorre
We derive Kazdan-Warner type identities for the boundary problem of prescribing nonconstant interior curvature and boundary curvature on the upper hemisphere $\mathbb{S}^4_…
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…
Conformal metrics on the four-dimensional half sphere with symmetric and curvatures
Sergio Cruz-Blázquez, Azahara DelaTorre
In this paper, we address the problem of prescribing non-constant and boundary curvatures on the upper hemisphere , via a conformal chan…
Non-degeneracy of the bubble in a fractional and singular 1D Liouville equation
Azahara DelaTorre, Gabriele Mancini, Angela Pistoia +1
We prove the non-degeneracy of solutions to a fractional and singular Liouville equation defined on the whole real line in presence of a singular term. We use conformal transformat…
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…