Existence of H-bubbles in a perturbative setting

  • Paolo Caldiroli

    Università degli Studi di Torino, Italy
  • Roberta Musina

    Università di Udine, Italy


Given a function , we look for -bubbles, i.e., surfaces in parametrized by the sphere with mean curvature at every regular point. Here we study the case where is some "good" curvature (for which there exist -bubbles with minimal energy, uniformly bounded in ), is the smallness parameter, and is {\em any} function.

Cite this article

Paolo Caldiroli, Roberta Musina, Existence of H-bubbles in a perturbative setting. Rev. Mat. Iberoam. 20 (2004), no. 2, pp. 611–626

DOI 10.4171/RMI/402