Asymptotic non-degeneracy of the solution to the Liouville-Gel'fand problem in two dimensions (Q878321)
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: Asymptotic non-degeneracy of the solution to the Liouville-Gel'fand problem in two dimensions |
scientific article; zbMATH DE number 5146409
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic non-degeneracy of the solution to the Liouville-Gel'fand problem in two dimensions |
scientific article; zbMATH DE number 5146409 |
Statements
Asymptotic non-degeneracy of the solution to the Liouville-Gel'fand problem in two dimensions (English)
0 references
26 April 2007
0 references
Summary: We study the asymptotic non-degeneracy of the solution to the Liouville-Gel'fand problem \(-\Delta v=\lambda V(x)ev\) in \(\Omega\), \(v=0\) on \(\partial\Omega\), where \(\Omega\subset \mathbb{R}^2\) is a smooth bounded domain, \(V(x)\) is a positive-valued \(C^1(\Omega)\) function, and \(\lambda > 0\) is a constant.
0 references
