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.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.