Existence of the vortex solutions of some semilinear elliptic equations (Q1363323)
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: Existence of the vortex solutions of some semilinear elliptic equations |
scientific article; zbMATH DE number 1046321
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of the vortex solutions of some semilinear elliptic equations |
scientific article; zbMATH DE number 1046321 |
Statements
Existence of the vortex solutions of some semilinear elliptic equations (English)
0 references
10 March 1998
0 references
The author extends (to a wider class of nonlinearities), a previous result by \textit{M. I. Weinstein} [Rocky Mt. J. Math. 21, No. 2, 821-827 (1991; Zbl 0732.35093)], about the existence and uniqueness of a vortex solution to semilinear elliptic equations. In the proofs, he uses ordinary differential equation phase space techniques.
0 references
vortex solutions
0 references
semilinear elliptic equations
0 references
ordinary differential equations
0 references
phase space analysis
0 references
stable and unstable manifolds, transverse intersection.
0 references
transverse intersection
0 references
