A note on the existence of H-bubbles via perturbation methods

Details A note on the existence of H-bubbles via perturbation methods A note on the existence of H-bubbles via perturbation methods

2003-01-23

arxiv.org/abs/math/0301265v3

Mathematics

Analysis of PDEs

14 pages

Scientific paper

We study the problem of existence of surfaces in ${\bf R}^3$ parametrized on
the sphere ${\mathbb S}^2$ with prescribed mean curvature $H$ in the
perturbative case, i.e. for $H=H_0+\epsilon H_1$, where $H_0$ is a nonzero
constant, $H_1$ is a $C^2$ function and $\epsilon$ is a small perturbation
parameter.

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