Blow-up analysis of conformal metrics of the disk with prescribed Gaussian and geodesic curvatures
From MaRDI portal
Publication:2688990
DOI10.2140/apde.2022.15.1897OpenAlexW4318718441MaRDI QIDQ2688990
Aleks Jevnikar, Rafael López-Soriano, María Medina, David Ruiz
Publication date: 6 March 2023
Published in: Analysis \& PDE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.14680
Boundary value problems on manifolds (58J32) Variational methods for second-order elliptic equations (35J20) Blow-up in context of PDEs (35B44)
Related Items (3)
Existence of critical points for a mean field functional on a compact Riemann surface with boundary ⋮ A blow-up phenomenon for a non-local Liouville-type equation ⋮ Prescribing Gaussian curvature on surfaces with conical singularities and geodesic boundary
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence and non existence results for the singular Nirenberg problem
- Blow-up analysis of a nonlocal Liouville-type equation
- On prescribing geodesic curvature on \(D^2\)
- Prescribing Gaussian curvature on \(S^ 2\)
- Problèmes de Neumann non linéaires sur les variétés riemanniennes
- Hypersurfaces in \(\mathbb H^{n+1}\) and conformally invariant equations: the generalized Christoffel and Nirenberg problems
- Sur les transformations conformes des variétés riemanniennes à bord. (On conformal transformations of Riemannian manifolds with boundary)
- Metrics of constant curvature on a Riemann surface with two corners on the boundary
- The Liouville equation in a half-plane
- Prescribing Gaussian curvature on S 2
- Conformal deformations of metric on \({\mathcal S}\) 2
- Convex manifolds of nonnegative curvature
- A perturbation result in prescribing scalar curvature on \(S^ n\)
- Classification of solutions of some nonlinear elliptic equations
- Meilleures constantes dans le théorème d'inclusion de Sobolev et un théorème de Fredholm non linéaire pour la transformation conforme de la courbure scalaire
- Harnack type inequality: The method of moving planes
- The scalar curvature equation on 2- and 3-spheres
- Classification of conformal metrics on \(\mathbb R^2_+\) with constant Gauss curvature and geodesic curvature on the boundary under various integral finiteness assumptions
- A family of curvature flows on surfaces with boundary
- Compactness, existence and multiplicity for the singular mean field problem with sign-changing potentials
- Prescribing Gaussian and geodesic curvature on disks
- Uniqueness of bubbling solutions of mean field equations
- A Moser-Trudinger inequality on the boundary of a compact Riemann surface
- A note on the Kazdan-Warner type condition
- On positive scalar curvature on \(S^2\)
- Conformal deformation of metrics on subdomains of surfaces
- Uniqueness theorems through the method of moving spheres
- A double mean field equation related to a curvature prescription problem
- Curvature functions for compact 2-manifolds
- Rigidity theorems for compact manifolds with boundary and positive Ricci curvature
- Riemannian structures of prescribed Gaussian curvature for compact 2- manifolds
- A flow approach to Nirenberg's problem
- Profile of Blow-up Solutions to Mean Field Equations with Singular Data
- BLOW-UP ANALYSIS FOR SOLUTIONS OF THE LAPLACIAN EQUATION WITH EXPONENTIAL NEUMANN BOUNDARY CONDITION IN DIMENSION TWO
- Scalar Curvatures on S 2
- Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)euin two dimensions
- Remarks on Prescribing Gauss Curvature
- The isoperimetric inequality
- A necessary and sufficient condition for the nirenberg problem
- Conformal metrics with prescribed gaussian and geodesic curvatures
- A prescribing geodesic curvature problem
This page was built for publication: Blow-up analysis of conformal metrics of the disk with prescribed Gaussian and geodesic curvatures