JournalsjstVol. 11, No. 2pp. 387–409

Conformal invariants from nodal sets. II. Manifolds with boundary

  • Graham Cox

    Memorial University of Newfoundland, St John's, Canada

  • Dmitry Jakobson

    McGill University, Montreal, Canada

  • Mikhail Karpukhin

    California Institute of Technology – Caltech, Pasadena, USA

  • Yannick Sire

    Johns Hopkins University, Baltimore, USA
Conformal invariants from nodal sets. II. Manifolds with boundary cover
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Abstract

In this paper, we study conformal invariants that arise from nodal sets and negative eigenvalues of conformally covariant operators on manifolds with boundary. We also consider applications to curvature prescription problems on manifolds with boundary. We relate Dirichlet and Neumann eigenvalues and put the results developed here for the Escobar problem into the more general framework of boundary operators of arbitrary order.

Cite this article

Graham Cox, Dmitry Jakobson, Mikhail Karpukhin, Yannick Sire, Conformal invariants from nodal sets. II. Manifolds with boundary. J. Spectr. Theory 11 (2021), no. 2, pp. 387–409

DOI 10.4171/JST/345