Equation \(\Delta u+K(x)e^{2u}=f(x)\) on \(R^ 2\) via stereographic projection (Q756003)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Equation \(\Delta u+K(x)e^{2u}=f(x)\) on \(R^ 2\) via stereographic projection |
scientific article; zbMATH DE number 4190262
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Equation \(\Delta u+K(x)e^{2u}=f(x)\) on \(R^ 2\) via stereographic projection |
scientific article; zbMATH DE number 4190262 |
Statements
Equation \(\Delta u+K(x)e^{2u}=f(x)\) on \(R^ 2\) via stereographic projection (English)
0 references
1988
0 references
This paper studies the equation associated to the determination of a Riemannian metric on \({\mathbb{R}}^ 2\) which is conformal to the flat metric with a prescribed Gauss curvature. Some existence results with an analysis of the behaviour of solutions at infinity are given.
0 references
flat metric
0 references
prescribed Gauss curvature
0 references
existence
0 references
0 references
0.84801996
0 references
0.82576776
0 references
0.8165028
0 references
0.80612385
0 references
0.80505747
0 references
