Symmetry and uniqueness of solutions to some Liouville-type equations and systems
Symmetry and uniqueness of solutions to some Liouville-type equations and systems
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DOI：
10.1080/03605302.2018.1446164
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发表时间：
2017-03
影响因子：
1.9
通讯作者：
C. Gui;Aleks Jevnikar;Amir Moradifam
中科院分区：
文献类型：
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作者：
C. Gui;Aleks Jevnikar;Amir Moradifam
本文证明了几何和数学物理中出现的三类Liouvile型问题：非对称Sinh-Gordon方程、宇宙弦方程和Toda系统在一定的质量假设下的对称性和唯一性结果。这个论点是本着复盖不等式的球体的精神，它第一次被用来处理不同的指数非线性和系统。
ABSTRACT We prove symmetry and uniqueness results for three classes of Liouville-type problems arising in geometry and mathematical physics: asymmetric Sinh-Gordon equation, cosmic string equation and Toda system, under certain assumptions on the mass associated to these problems. The argument is in the spirit of the sphere covering inequality which for the first time is used in treating different exponential nonlinearities and systems.