Now showing items 1-3 of 3

  • An extension problem for the CR fractional Laplacian 

    Frank, Rupert L.; González Nogueras, María del Mar; Monticelli, Dario D.; Tan, Jinggang (2013-12)
    External research report
    Open Access
    We show that the conformally invariant fractional powers of the sub-Laplacian on the Heisenberg group are given in terms of the scattering operator for an extension problem to the Siegel upper halfspace. Remarkably, this ...
  • An extension problem for the CR fractional Laplacian 

    Frank, Rupert L.; González Nogueras, María del Mar; Monticelli, Dario D.; Tan, Jinggang (2015-01-01)
    Article
    Open Access
    We show that the conformally invariant fractional powers of the sub-Laplacian on the Heisenberg group are given in terms of the scattering operator for an extension problem to the Siegel upper halfspace. Remarkably, this ...
  • Positive solutions of nonlinear problems involving the square root of the Laplacian 

    Cabré Vilagut, Xavier; Tan, Jinggang (2009-05)
    External research report
    Open Access
    We consider nonlinear elliptic problems involving a nonlocal operator: the square root of the Laplacian in a bounded domain with zero Dirichlet boundary conditions. For positive solutions to problems with power nonlinearities, ...