11 citations · 36 across the 18 of their papers we have counts for
19 papers
Eigendecomposition of the Hessian of the Robin function in orthogonally invariant domains
Alejandro Ortega
In this work we analyze the eigendecomposition of the Hessian matrix of the Robin function for the spectral fractional Laplacian in orthogonally invariant domains.…
Fractional Schrödinger systems coupled by Hardy-Sobolev critical terms
Alejandro Ortega
In this work we analyze a class of nonlinear fractional elliptic systems involving Hardy--type potentials and coupled by critical Hardy-Sobolev--type nonlinearities in $\mathbb{R}^…
Subcritical nonlocal problems with mixed boundary conditions
Giovanni Molica Bisci, Alejandro Ortega, Luca Vilasi
In this paper, by variational and topological arguments based on linking and -theorems, we prove the existence of multiple solutions for the following nonlocal problem with…
Pervasiveness of the -Laplace operator under localization of fractional -Laplace operators
Alejandro Ortega
In this work we analyze the behavior of truncated functionals as \begin{equation*} \int_{\mathbb{R}^N}\int_{B(x,δ)} G\left(\frac{|u(x)-u(y)|}{|x-y|^{s}}\right)\frac{dydx}{|x-y|^N}\…
Nonlinear elliptic systems involving Hardy-Sobolev Criticalities
Rafael López-Soriano, Alejandro Ortega
This paper is focused on the solvability of a family of nonlinear elliptic systems defined in . Such equations contain Hardy potentials and Hardy-Sobolev criticalitie…
Concave-Convex critical problems for the spectral fractional Laplacian with mixed boundary conditions
Alejandro Ortega
In this work we study the existence of solutions to the following critical fractional problem with concave-convex nonlinearities, \begin{equation*} \left \{ \begin{array}{l} (-Δ)^s…