60 citations · 125 across the 25 of their papers we have counts for
7 papers · 1 filter
A gluing construction of singular solutions for a fully non-linear equation in conformal geometry
María Fernanda Espinal, María del Mar González
In this paper we study the --Yamabe equation, , for solutions with a prescribed singular set given by a disjoint union of closed submanifolds whose dimension is posit…
Multiplicity of singular solutions to the fractional Yamabe problem on spheres
Renato G. Bettiol, María del Mar González, Ali Maalaoui
We prove nonuniqueness results for complete metrics with constant positive fractional curvature conformal to the round metric on , using bifurcation techniques.…
An extension problem for the CR fractional Laplacian
Rupert L. Frank, María de Mar González, Dario D. Monticelli +1
We show that the conformally invariant fractional powers of the sub-Laplacian on the Heisenberg group are given in terms of the scattering operator for an extension problem to the…
Some constructions for the fractional Laplacian on noncompact manifolds
Valeria Banica, Maria del Mar González, Mariel Sáez
We give a definition of the fractional Laplacian on some noncompact manifolds, through an extension problem introduced by Caffarelli-Silvestre. While this definition in the compact…
Fractional conformal Laplacians and fractional Yamabe problems
Maria del Mar Gonzalez, Jie Qing
Based on the relations between scattering operators of asymptotically hyperbolic metrics and Dirichlet-to-Neumann operators of uniformly degenerate elliptic boundary value problems…
Fractional Laplacian in Conformal Geometry
Sun-Yung Alice Chang, Maria del Mar Gonzalez
In this note, we study the connection between the fractional Laplacian operator that appeared in the recent work of Caffarelli-Silvestre and a class of conformally covariant operat…
Singular solutions of fractional order conformal Laplacians
Maria del Mar Gonzalez, Rafe Mazzeo, Yannick Sire
We investigate the singular sets of solutions of conformally covariant elliptic operators of fractional order with the goal of developing generalizations of some well-known propert…