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Non-degeneracy of Gauss curvature equation with negative conic singularity

Analysis of PDEs 2018-12-26 v2

Abstract

We study the Gauss curvature equation with negative singularities. For a local mean field type equation with only one negative index we prove a uniqueness property. For a global equation with one or two negative indexes we prove the non-degeneracy of the linearized equations.

Keywords

Cite

@article{arxiv.1706.10264,
  title  = {Non-degeneracy of Gauss curvature equation with negative conic singularity},
  author = {Juncheng Wei and Lei Zhang},
  journal= {arXiv preprint arXiv:1706.10264},
  year   = {2018}
}

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19 pages