12 citations · 15 across the 8 of their papers we have counts for
9 papers
Conformal Metrics on the Disk with Prescribed Negative Gaussian Curvature and Boundary Geodesic Curvature
Rafael López-Soriano, Francisco J. Reyes-Sánchez, David Ruiz
We study the problem of prescribing the Gaussian curvature on the disk and the geodesic curvature on its boundary via a conformal change of the metric. In this paper the case of ne…
Prescribing curvatures in the disk via conformal changes of the metric: the case of negative Gaussian curvature
Rafael López-Soriano, Francisco J. Reyes-Sánchez, David Ruiz
This paper deals with the question of prescribing the Gaussian curvature on a disk and the geodesic curvature of its boundary by means of a conformal deformation of the metric. We…
A mean field problem approach for the double curvature prescription problem
Luca Battaglia, Rafael López-Soriano
In this paper we establish a new mean field-type formulation to study the problem of prescribing Gaussian and geodesic curvatures on compact surfaces with boundary, which is equiva…
Classification of solutions to Hardy-Sobolev Doubly Critical Systems
Francesco Esposito, Rafael López-Soriano, Berardino Sciunzi
This work deals with a family of Hardy-Sobolev doubly critical system defined in . More precisely, we provide a classification of the positive solutions, whose expres…
Symmetry and monotonicity results for solutions of vectorial -Stokes systems
Rafael López-Soriano, Luigi Montoro, Berardino Sciunzi
In this paper we shall study qualitative properties of a -Stokes type system, namely $$ -{\boldsymbol Δ}_p{\boldsymbol u}=-\operatorname{\bf div}(|D{\boldsymbol u}|^{p-2}D{\bold…
Blow-up analysis of conformal metrics of the disk with prescribed Gaussian and geodesic curvatures
Aleks Jevnikar, Rafael López-Soriano, María Medina +1
This paper is concerned with the compactness of metrics of the disk with prescribed Gaussian and geodesic curvatures. We consider a blowing-up sequence of metrics and give a precis…
Conformal metrics with prescribed Gaussian and geodesic curvatures
Rafael López-Soriano, Andrea Malchiodi, David Ruiz
We consider the problem of prescribing the Gaussian and the geodesic curvatures of a compact surface with boundary by a conformal deformation of the metric. We derive some existenc…
Compactness, existence and multiplicity for the singular mean field problem with sign-changing potentials
Francesca De Marchis, Rafael López-Soriano, David Ruiz
In this paper we consider a mean field problem on a compact surface with conical singularities. This problem appears in the Gaussian curvature prescription problem in Geometry, and…
Prescribing the Gaussian curvature in a subdomain of S^2 with Neumann boundary condition
Rafael López-Soriano, David Ruiz
In this paper we study the problem of prescribing the Gaussian curvature under a conformal change of the metric. We are concerned with the problem posed on a subdomain of the 2-sph…