Energy quantization for a singular super-Liouville boundary value problem

Energy quantization for a singular super-Liouville boundary value problem
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奇异超刘维尔边值问题的能量量化

DOI:
10.1007/s00208-020-02023-3
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发表时间:
2019-08
影响因子:
1.4
通讯作者:
Zhu Miaomiao
Zhu Miaomiao
中科院分区:
数学2区
文献类型:
--
作者:
Jost Juergen;Zhou Chunqin;Zhu Miaomiao

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In this paper, we develop the blow-up analysis and establish the energy quantization for solutions to super-Liouville type equations on Riemann surfaces with conical singularities at the boundary. In other problems in geometric analysis, the blow-up analysis usually strongly utilizes conformal invariance, which yields a Noether current from which strong estimates can be derived. Here, however, the conical singularities destroy conformal invariance. Therefore, we develop another, more general, method that uses the vanishing of the Pohozaev constant for such solutions to deduce the removability of boundary singularities.
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