Boundary operators associated to the sixth-order GJMS operator

@inproceedings{Case2018BoundaryOA,
  title={Boundary operators associated to the sixth-order GJMS operator},
  author={Jeffrey S. Case and Weiyu Luo},
  year={2018}
}
We describe a set of conformally covariant boundary operators associated to the sixth-order GJMS operator on a conformally invariant class of manifolds which includes compactifications of Poincare--Einstein manifolds. This yields a conformally covariant energy functional for the sixth-order GJMS operator on such manifolds. Our boundary operators also provide a new realization of the fractional GJMS operators of order one, three, and five as generalized Dirichlet-to-Neumann operators. This… CONTINUE READING

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