2 citations · 5 across the 10 of their papers we have counts for
8 papers · 1 filter
The Pohozaev identity for the Spectral Fractional Laplacian
Itahisa Barrios-Cubas, Matteo Bonforte, María del Mar González +1
In this paper, we prove a Pohozaev identity for the Spectral Fractional Laplacian (SFL). This identity allows us to establish non-existence results for the semilinear Dirichlet pro…
The limiting case of the fractional Caffarelli-Kohn-Nirenberg inequality in dimension one
Maria del Mar Gonzalez, Ali Hyder, Mariel Saez
In this paper we study the fractional Caffarelli-Kohn-Nirenberg inequality (CKN) in one dimension when the parameter converges (from the left) to its critical value , obta…
A Steklov version of the Torsional Rigidity
Lorenzo Brasco, María del Mar González, Mikel Ispizua
Motivated by the connection between the first eigenvalue of the Dirichlet-Laplacian and the torsional rigidity, the aim of this paper is to find a physically coherent and mathemati…
-convergence of variational functionals with boundary terms in Stein manifolds
Eleonora Cinti, Bruno Franchi, María del Mar González
Let be an open subset of a Stein manifold and let be its boundary. It is well known that inherits a natural contact structure. In this paper we consider a family of…
Fractional Laplacians and extension problems: the higher rank case
Maria del Mar Gonzalez, Mariel Saez
The aim of this paper is two-fold: first, we look at the fractional Laplacian and the conformal fractional Laplacian from the general framework of representation theory on symmetri…
Recent progress on the fractional Laplacian in conformal geometry
Maria del Mar Gonzalez
The aim of this paper is to report on recent development on the conformal fractional Laplacian, both from the analytic and geometric points of view, but especially towards the PDE…