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

H-bubbles with prescribed large mean curvature

  • Paolo CaldiroliEmail author


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.


Smooth Function Stationary Point Extremal Point Nondegenerate Stationary Point 
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© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  1. 1.Dipartimento di MatematicaUniversità di TorinoTorinoItaly

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