Asymptotic non-degeneracy of the solution to the Liouville-Gel'fand problem in two dimensions
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.
scientific article; zbMATH DE number 5146409