EXISTENCE OF MINIMAL H-BUBBLES
- 1 May 2002
- journal article
- Published by World Scientific Pub Co Pte Ltd in Communications in Contemporary Mathematics
- Vol. 4 (2), 177-209
- https://doi.org/10.1142/s021919970200066x
Abstract
Given a function H ∈ C1 (ℝ3) asymptotic to a constant at infinity, we investigate the existence of H-bubbles, i.e., nontrivial, conformal surfaces parametrized by the sphere, with mean curvature H. Under some global hypotheses we prove the existence of H-bubbles with minimal energy.Keywords
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