We study the problem of existence of surfaces in parametrized on the sphere with prescribed mean curvature in the perturbative case, i.e. for , where is a nonzero constant, is a function and is a small perturbation parameter.
Cite this article
Veronica Felli, A note on the existence of -bubbles via perturbation methods. Rev. Mat. Iberoam. 21 (2005), no. 1, pp. 163–178DOI 10.4171/RMI/419