5 papers
Radial symmetry of positive solutions to quasilinear Hardy-Sobolev doubly critical systems
Laura Baldelli, Francesco Esposito, Rafael Lopez-Soriano +1
The aim of this paper is to prove radial symmetry results for positive weak solutions with finite energy to the following quasilinear doubly critical system \begin{equation} \begin…
Existence of solutions for a system with general Hardy--Sobolev singular criticalities
Ángel Arroyo, Rafael López-Soriano, Alejandro Ortega
In this paper we study a class of Hardy--Sobolev type systems defined in and coupled by a singular critical Hardy--Sobolev term. The main novelty of this work is tha…
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…
A Strong Maximum Principle for the fractional Laplace equation with mixed boundary condition
Rafael López-Soriano, Alejandro Ortega
In this work we prove a strong maximum principle for fractional elliptic problems with mixed Dirichlet-Neumann boundary data which extends the one proved by J. Dávila to the fracti…
A double mean field equation related to a curvature prescription problem
Luca Battaglia, Rafael López-Soriano
We study a double mean field-type PDE related to a prescribed curvature problem on compacts surfaces with boundary. We provide a general blow-up analysis, then a Moser-Trudinger in…