2 citations · 2 across the 2 of their papers we have counts for
7 papers
Sign-changing solutions for the one-dimensional non-local sinh-Poisson equation
Azahara DelaTorre, Gabriele Mancini, Angela Pistoia
We study the existence of sign-changing solutions for a non-local version of the sinh-Poisson equation on a bounded one-dimensional interval , under Dirichlet conditions in the…
An analytic construction of singular solutions related to a critical Yamabe problem
Hardy Chan, Azahara DelaTorre
We answer affirmatively a question of Aviles posed in 1983, concerning the construction of singular solutions of semilinear equations without using phase-plane analysis. Fully expl…
ODE-methods in non-local equations
Weiwei Ao, Hardy Chan, Azahara DelaTorre +3
Non-local equations cannot be treated using classical ODE theorems. Nevertheless, several new methods have been introduced in the non-local gluing scheme of our previous article "O…
Concentration phenomena for the fractional -curvature equation in dimension 3 and fractional Poisson formulas
Azahara DelaTorre, Maria del Mar Gonzalez, Ali Hyder +1
We study the compactness properties of metrics of prescribed fractional -curvature of order in . We will use an approach inspired from conformal geometry, seeing a met…
The non-local mean-field equation on an interval
Azahara DelaTorre, Ali Hyder, Luca Martinazzi +1
We consider the fractional mean-field equation on the interval subject to Dirichlet boundary conditions, and prove…
On higher dimensional singularities for the fractional Yamabe problem: a non-local Mazzeo-Pacard program
Weiwei Ao, Hardy Chan, Azahara DelaTorre +3
We consider the problem of constructing solutions to the fractional Yamabe problem that are singular at a given smooth sub-manifold, and we establish the classical gluing method of…