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arXiv · 1804.07009

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

Daniele Bartolucci·Aleks Jevnikar·Chang-Shou Lin
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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.

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Daniele Bartolucci, Aleks Jevnikar, Chang-Shou Lin. 2018-04-19. Non-degeneracy and uniqueness of solutions to singular mean field equations on bounded domains. https://doi.org/10.1016/j.jde.2018.07.053

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