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manuscripta mathematica

, Volume 113, Issue 1, pp 125–142 | Cite as

H-bubbles with prescribed large mean curvature

  • Paolo CaldiroliEmail author
Article

Abstract.

Given a smooth function , we call H-bubble a conformally immersed surface in 3 parametrized on the sphere 2 with mean curvature H at every point. We prove that if is a nondegenerate stationary point for H with , then there exists a curve of embedded θH-bubbles, defined for θ large, which become round and concentrate at as . Also the case of topologically stable extremal points for H is considered.

Keywords

Smooth Function Stationary Point Extremal Point Nondegenerate Stationary Point 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  1. 1.Dipartimento di MatematicaUniversità di TorinoTorinoItaly

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