Supercritical Conformal Metrics on Surfaces with Conical Singularities
From MaRDI portal
Publication:3108559
DOI10.1093/imrn/rnq285zbMath1254.30066OpenAlexW1977582647WikidataQ125863091 ScholiaQ125863091MaRDI QIDQ3108559
Andrea Malchiodi, Daniele Bartolucci, Francesca De Marchis
Publication date: 4 January 2012
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1093/imrn/rnq285
Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Global Riemannian geometry, including pinching (53C20)
Related Items (59)
Variational analysis of Toda systems ⋮ Existence and non-existence results for the \(SU(3)\) singular Toda system on compact surfaces ⋮ A note on a multiplicity result for the mean field equation on compact surfaces ⋮ Onofri-type inequalities for singular Liouville equations ⋮ Existence and non existence results for the singular Nirenberg problem ⋮ Compactness, existence and multiplicity for the singular mean field problem with sign-changing potentials ⋮ Prescribing the \(Q\)-curvature on the sphere with conical singularities ⋮ On convergence to a football ⋮ Spherical conical metrics and harmonic maps to spheres ⋮ Metric aspects of conic surfaces ⋮ On curvature pinching of conic 2-spheres ⋮ Prescribed Gauss curvature problem on singular surfaces ⋮ A variational approach to Liouville equations ⋮ Classification and a priori estimates for the singular prescribing \(Q\)-curvature equation on 4-manifold ⋮ An improved geometric inequality via vanishing moments, with applications to singular Liouville equations ⋮ A weak Trudinger-Moser inequality with a singular weight on a compact Riemannian surface ⋮ Conical metrics on Riemann surfaces. I: The compactified configuration space and regularity ⋮ Isoperimetric inequalities and geometry of level curves of harmonic functions on smooth and singular surfaces ⋮ Local uniqueness and non-degeneracy of blow up solutions of mean field equations with singular data ⋮ A double mean field equation related to a curvature prescription problem ⋮ The \(\operatorname{SU}(3)\) Toda system with multiple singular sources ⋮ A general existence result for the Toda system on compact surfaces ⋮ Existence results for the mean field equation on a closed symmetric Riemann surface ⋮ A generalized mean field type flow on a closed Riemann surface ⋮ \(\sigma_2\) Yamabe problem on conic 4-spheres ⋮ Boundary metric of Epstein-Penner convex hull and discrete conformality ⋮ Classification of generic spherical quadrilaterals ⋮ B 2 and G2 Toda systems on compact surfaces: A variational approach ⋮ On the best pinching constant of conformal metrics on \(\mathbb S^2\) with one and two conical singularities ⋮ Prescribing Gaussian curvature on surfaces with conical singularities and geodesic boundary ⋮ ``Bubbling of the prescribed curvature flow on the torus ⋮ Weighted barycentric sets and singular Liouville equations on compact surfaces ⋮ A unified approach of blow-up phenomena for two-dimensional singular Liouville systems ⋮ Uniqueness of bubbling solutions of mean field equations ⋮ New improved Moser-Trudinger inequalities and singular Liouville equations on compact surfaces ⋮ Existence and multiplicity result for the singular Toda system ⋮ Energy quantization for a singular super-Liouville boundary value problem ⋮ On the solvability of singular Liouville equations on compact surfaces of arbitrary genus ⋮ Asymptotic blow-up analysis for singular Liouville type equations with applications ⋮ On singular Liouville equations and systems ⋮ Theory of ``critical points at infinity and a resonant singular Liouville-type equation ⋮ Non-degeneracy and uniqueness of solutions to singular mean field equations on bounded domains ⋮ MIN-MAX schemes for \(\mathrm{SU}(3)\) Toda systems ⋮ A general existence result for stationary solutions to the Keller-Segel system ⋮ A gradient flow for the prescribed Gaussian curvature problem on a closed Riemann surface with conical singularity ⋮ Non-degeneracy, mean field equations and the Onsager theory of 2D turbulence ⋮ Spectral properties of reducible conical metrics ⋮ Irreducible cone spherical metrics and stable extensions of two line bundles ⋮ Self-gravitating cosmic strings and the Alexandrov’s inequality for Liouville-type equations ⋮ Singular mean field equations on compact Riemann surfaces ⋮ Rigidity of a family of spherical conical metrics ⋮ Mean field equations on tori: existence and uniqueness of evenly symmetric blow-up solutions ⋮ A singular sphere covering inequality: uniqueness and symmetry of solutions to singular Liouville-type equations ⋮ Uniform bounds for solutions to elliptic problems on simply connected planar domains ⋮ Spherical surfaces with conical points: systole inequality and moduli spaces with many connected components ⋮ Global differential geometry. Abstracts from the workshop held June 30 -- July 5, 2019 ⋮ Mean Field Equation of Liouville Type with Singular Data: Topological Degree ⋮ On the Ambjorn-Olesen electroweak condensates ⋮ Supercritical mean field equations on convex domains and the Onsager's statistical description of two-dimensional turbulence
This page was built for publication: Supercritical Conformal Metrics on Surfaces with Conical Singularities
