• openAccess   Asymptotically Extrinsic Tamed Submanifolds 

      Bessa, G. Pacelli; Gimeno, Vicent; Palmer Andreu, Vicente Springer Verlag (2017-04)
      We study, from the extrinsic point of view, the structure at infinity of open submanifolds, ϕ : Mm → Mn(κ) isometrically immersed in the real space forms of constant sectional curvature κ ≤ 0.We shall use the decay of ...
    • openAccess   Green functions and the Dirichlet spectrum 

      Bessa, G. Pacelli; Gimeno, Vicent; Jorge, Luquesio European Mathematical Society (2020)
      This article has results of four types. We show that the firsteigenvalueλ1(Ω) of the weighted Laplacian of a bounded domain withsmooth boundary can be obtained by S. Sato’s iteration scheme of theGreen ...
    • openAccess   The spectrum of the Laplacian and volume growth of proper minimal submanifolds 

      Bessa, G. Pacelli; Gimeno, Vicent; Polymerakis, Panagiotis Springer-Verlag GmbH Germany (2022-07)
      We give upper bounds for the bottom of the essential spectrum of properly immersed minimal submanifolds of Rn in terms of their volume growth. Our result can be viewed as an extrinsic version of Brooks’s essential spectrum ...