The role of the Hilbert metric in a class of singular elliptic boundary value problem in convex domains

@article{Serre2017TheRO,
  title={The role of the Hilbert metric in a class of singular elliptic boundary value problem in convex domains},
  author={Denis Serre},
  journal={Confluentes Mathematici},
  year={2017},
  volume={9},
  pages={105-117}
}
  • D. Serre
  • Published 1 February 2017
  • Mathematics
  • Confluentes Mathematici
In a recent paper [7], we were led to consider a distance over a bounded open convex domain. It turns out to be the so-called Thompson metric, which is equivalent to the Hilbert metric. It plays a key role in the analysis of existence and uniqueness of solutions to a class of elliptic boundary-value problems that are singular at the boundary. 

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