3 papers
math.AP2026
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…
math.AP2025
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…
physics.flu-dyn2024
Evolution of vortex filaments and reconnections in the Gross-Pitaevski equation and its approximation by the binormal flow equation
M. Arrayás, M. A. Fontelos, M. d. M. González +1
The evolution of a vortex line following the binormal flow equation (i.e. with a velocity proportional to the local curvature in the direction of the binormal vector) has been post…