Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

D. Bartolucci - A. Jevnikar - C. S. Lin

Non-degeneracy and uniqueness of solutions to singular mean field equations on bounded domains

created by jevnikar on 19 Apr 2018

[BibTeX]

Preprint

Inserted: 19 apr 2018
Last Updated: 19 apr 2018

Year: 2018

Abstract:

The aim of this paper is to complete the program initiated in [50], [23] and then carried out by several authors concerning non-degeneracy and uniqueness of solutions to mean field equations. In particular, we consider mean field equations with general singular data on non-smooth domains. The argument is based on the Alexandrov-Bol inequality and on the eigenvalues analysis of linearized singular Liouville-type problems.

Keywords: uniqueness results, Singular Liouville-type equations, Alexandrov-Bol inequality, Singular Mean field equations, Non-degeneracy


Download:

Credits | Cookie policy | HTML 5 | CSS 2.1