The aim of this paper is to complete the program initiated in [51], [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.
Bartolucci, D., Jevnikar, A., Lin, C.s. (2018). Non-degeneracy and uniqueness of solutions to singular mean field equations on bounded domains. JOURNAL OF DIFFERENTIAL EQUATIONS, 266(1), 716-741 [10.1016/j.jde.2018.07.053].
Non-degeneracy and uniqueness of solutions to singular mean field equations on bounded domains
D. BartolucciMembro del Collaboration Group
;
2018-07-26
Abstract
The aim of this paper is to complete the program initiated in [51], [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.| File | Dimensione | Formato | |
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