Absolute gradient bound for surfaces of constant mean curvature
Kok Seng Chua (1994)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Displaying similar documents to “Comparison principles and Liouville theorems for prescribed mean curvature equations in unbounded domains”
Absolute gradient bound for surfaces of constant mean curvature
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The Clifford tori in constitute a one-parameter family of flat, two-dimensional, constant mean curvature (CMC) submanifolds. This paper demonstrates that new, topologically non-trivial CMC surfaces resembling a pair of neighbouring Clifford tori connected at a sub-lattice consisting of at least two points by small catenoidal bridges can be constructed by perturbative PDE methods. That is, one can create a submanifold that has almost everywhere constant mean curvature by gluing a re-scaled...