The super-Toda system and bubbling of spinors

The super-Toda system and bubbling of spinors
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超级 Toda 系统和旋量冒泡

DOI:
10.1016/j.jfa.2018.07.002
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发表时间:
2017-09
影响因子:
1.7
通讯作者:
Miaomiao Zhu
Miaomiao Zhu
中科院分区:
数学1区
文献类型:
--
作者:
Jürgen Jost;Chunqin Zhou;Miaomiao Zhu

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引入了Riemann曲面上的super-Toda系统,研究了在具有均匀有界能量的封闭Riemann曲面上的super-Toda系统的一系列解的爆破分析。特别地,我们给出了可能有四种泡沫化解的爆破解序列的旋量部分的能量恒等式,即在r2或r2∈{0}上定义的超liouville方程或超toda系统的有限能量解。这是通过展示这四种起泡溶液的旋量部分的一些新的能隙结果来实现的。
We introduce the super-Toda system on Riemann surfaces and study the blow-up analysis for a sequence of solutions to the super-Toda system on a closed Riemann surface with uniformly bounded energy. In particular, we show the energy identities for the spinor parts of a blow-up sequence of solutions for which there are possibly four types of bubbling solutions, namely, finite energy solutions of the super-Liouville equation or the super-Toda system defined on R 2 or on R 2∖{0}. This is achieved by showing some new energy gap results for the spinor parts of these four types of bubbling solutions.
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