Blow-up analysis of a nonlocal Liouville-type equation
F Da Lio, L Martinazzi, T Riviere - Analysis & PDE, 2015 - msp.org
Blow-up analysis of a nonlocal Liouville-type equation Page 1 ANALYSIS & PDE msp Volume
8 No. 7 2015 FRANCESCA DA LIO, LUCA MARTINAZZI AND TRISTAN RIVIÈRE BLOW-UP …
8 No. 7 2015 FRANCESCA DA LIO, LUCA MARTINAZZI AND TRISTAN RIVIÈRE BLOW-UP …
Local and nonlocal singular Liouville equations in Euclidean spaces
We study the metrics of constant-curvature in the Euclidean space with a prescribed
singularity at the origin, namely solutions to the equation under a finite volume condition. We …
singularity at the origin, namely solutions to the equation under a finite volume condition. We …
Conformal metrics with prescribed scalar and mean curvature
We consider the case with boundary of the classical Kazdan–Warner problem in dimension
greater or equal than three, ie the prescription of scalar and boundary mean curvatures via …
greater or equal than three, ie the prescription of scalar and boundary mean curvatures via …
Prescribing Gaussian and geodesic curvature on disks
S Cruz-Blázquez, D Ruiz - Advanced Nonlinear Studies, 2018 - degruyter.com
In this paper, we consider the problem of prescribing the Gaussian and geodesic curvature
on a disk and its boundary, respectively, via a conformal change of the metric. This leads us …
on a disk and its boundary, respectively, via a conformal change of the metric. This leads us …
Prescribing curvatures in the disk via conformal changes of the metric: the case of negative gaussian curvature
R López-Soriano, FJ Reyes-Sánchez, D Ruiz - Journal of Differential …, 2025 - Elsevier
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 …
geodesic curvature of its boundary by means of a conformal deformation of the metric. We …
Large conformal metrics with prescribed Gaussian and geodesic curvatures
L Battaglia, M Medina, A Pistoia - Calculus of Variations and Partial …, 2021 - Springer
We consider the problem of prescribing Gaussian and geodesic curvatures for a conformal
metric on the unit disk. This is equivalent to solving the following PDE-Δ u= 2 K (z) eu in D …
metric on the unit disk. This is equivalent to solving the following PDE-Δ u= 2 K (z) eu in D …
A mean field problem approach for the double curvature prescription problem
L Battaglia, R López-Soriano - arxiv preprint arxiv:2309.07735, 2023 - arxiv.org
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 …
prescribing Gaussian and geodesic curvatures on compact surfaces with boundary, which is …
Conformal metrics with prescribed Gaussian and geodesic curvatures
We consider the problem of prescribing the Gaussian and the geodesic curvatures of a
compact surface with boundary by a confor-mal deformation of the metric. We derive some …
compact surface with boundary by a confor-mal deformation of the metric. We derive some …
Blow-up analysis of conformal metrics of the disk with prescribed Gaussian and geodesic curvatures
Here we are concerned with the compactness of metrics on the disk with prescribed
Gaussian and geodesic curvatures. We consider a blowing up sequence of metrics and give …
Gaussian and geodesic curvatures. We consider a blowing up sequence of metrics and give …
Conformal metrics with prescribed Gaussian and geodesic curvatures
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 …
compact surface with boundary by a conformal deformation of the metric. We derive some …