Existence of H-bubbles in a perturbative setting
Paolo Caldiroli
Università degli Studi di Torino, ItalyRoberta Musina
Università di Udine, Italy
![Existence of H-bubbles in a perturbative setting cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-rmi-volume-20-issue-2.png&w=3840&q=90)
Abstract
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 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