The Liouville equation in an annulus
type: Item
instance of: scholarly article
title: The Liouville equation in an annulus
zbMATH Open document ID: 1242.35113
author: Asun Jiménez
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2012-05-04T00:00:00Z
review text: The author solves the Neumann boundary value problem for the Liouville equation in an annulus in the plane. A classification of constant curvature annuli is then obtained.
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35J91
zbMATH DE Number: 6030596
zbMATH Keywords: Liouville equation
zbMATH Keywords: Neumann problem
zbMATH Keywords: conformal annulus
zbMATH Keywords: constant curvature
reviewed by: Dumitru Motreanu
MaRDI profile type: Publication
full work available at URL: j.na.2011.10.009
OpenAlex ID: W2149597717
Wikidata QID: Q125880837
cites work: Classification of conformal metrics on \(\mathbb R^2_+\) with constant Gauss curvature and geodesic curvature on the boundary under various integral finiteness assumptions
cites work: The Liouville equation in a half-plane
cites work: Liouville-type theorems and harnack-type inequalities for semilinear elliptic equations
cites work: A uniqueness theorem for harmonic functions on the upper-half plane
cites work: Classification of solutions of some nonlinear elliptic equations
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cites work: A new approach to some nonlinear geometric equations in dimension two
cites work: Metrics of constant curvature on a Riemann surface with two corners on the boundary
cites work: The geometric Neumann problem for the Liouville equation
cites work: Liouville's formula in arbitrary planar domains
cites work: Q3774501
DOI: 10.1016/J.NA.2011.10.009
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description: scientific article; zbMATH DE number 6030596