23 citations · 43 across the 9 of their papers we have counts for
9 papers
Eigenvalue bounds for the Paneitz operator and its associated third-order boundary operator on locally conformally flat manifolds
Maria del Mar Gonzalez, Mariel Saez
In this paper we study bounds for the first eigenvalue of the Paneitz operator and its associated third-order boundary operator on four-manifolds. We restrict to orientab…
Concentration phenomena for the fractional -curvature equation in dimension 3 and fractional Poisson formulas
Azahara DelaTorre, Maria del Mar Gonzalez, Ali Hyder +1
We study the compactness properties of metrics of prescribed fractional -curvature of order in . We will use an approach inspired from conformal geometry, seeing a met…
Boundary connected sum of Escobar manifolds
Weiwei Ao, Maria del Mar Gonzalez, Yannick Sire
Let and be two compact Riemannian manifolds with boundary and respectively. The Escobar problem consists in prescribing…
Bound state solutions for the supercritical fractional Schrödinger equation
Weiwei Ao, Hardy Chan, Maria del Mar Gonzalez +1
We prove the existence of positive solutions for the supercritical nonlinear fractional Schrödinger equation in , with as $|x|\to +\…
Existence and uniqueness to a fully non-linear version of the Loewner-Nirenberg problem
Maria del Mar González, YanYan Li, Luc Nguyen
We consider the problem of finding on a given Euclidean domain of dimension a complete conformally flat metric whose Schouten curvature satisfies some equation o…
Further results on the fractional Yamabe problem: the umbilic case
Maria del Mar Gonzalez, Meng Wang
We prove some existence results for the fractional Yamabe problem in the case that the boundary manifold is umbilic, thus covering some of the cases not considered by Gonzalez and…