Asymptotic non-degeneracy of the solution to the Liouville–Gel’fand problem in two dimensions

  • Tomohiko Sato

    Osaka University, Japan
  • Takashi Suzuki

    Osaka University, Japan

Abstract

In this paper we study the asymptotic non-degeneracy of the solution to the Liouville–Gel’fand problem

where is a smooth bounded domain, is a positive-valued function, and is a constant.

Cite this article

Tomohiko Sato, Takashi Suzuki, Asymptotic non-degeneracy of the solution to the Liouville–Gel’fand problem in two dimensions. Comment. Math. Helv. 82 (2007), no. 2, pp. 353–369

DOI 10.4171/CMH/94