The qualitative boundary behavior of blow-up solutions of the super-Liouville equations |
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| Authors: | Jü rgen Jost,Chunqin Zhou,Miaomiao Zhu |
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| Affiliation: | 1. Max Planck Institute for Mathematics in the Sciences, Inselstr. 22, D-04013 Leipzig, Germany;2. Department of Mathematics and MOE-LSC, Shanghai Jiaotong University, 200240, Shanghai, China |
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| Abstract: | Continuing our work on the boundary value problem for super-Liouville equation, we study the qualitative behavior of boundary blow-ups. The boundary condition is derived from the chirality conditions in the physics literature, and is geometrically natural. In technical terms, we derive a new Pohozaev type identity and provide a new alternative, which also works at the boundary, to the classical method of Brézis–Merle. |
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| Keywords: | Super-Liouville equations Chirality and Neumann boundary conditions Blow-up analysis |
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