The qualitative boundary behavior of blow-up solutions of the super-Liouville equations

Jürgen Jost, Chunqin Zhou, and Miaomiao Zhu

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Submission date: 11. Jul. 2013
Pages: 27
published in: Journal de mathématiques pures et appliquées, 101 (2014) 5, p. 689-715 
DOI number (of the published article): 10.1016/j.matpur.2013.10.006
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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.