Given a function $H\in C^{1}(\mathbb{R}^{3})$ asymptotic to a constant at infinity, we investigate the existence of nontrivial, conformal surfaces parametrized by the sphere, with mean curvature $H$ and minimal energy.
S2-type parametric surfaces with prescribed mean curvature and minimal energy
CALDIROLI, Paolo;
2003-01-01
Abstract
Given a function $H\in C^{1}(\mathbb{R}^{3})$ asymptotic to a constant at infinity, we investigate the existence of nontrivial, conformal surfaces parametrized by the sphere, with mean curvature $H$ and minimal energy.
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