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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Kok Seng Chua (1994)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Enrico Giusti (1976)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Fabien Flori, Pierre Orenga (2000)
Annales de l'I.H.P. Analyse non linéaire
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Ermanna Tomaini (1986)
Rendiconti del Seminario Matematico della Università di Padova
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Michele Emmer (1981)
Rendiconti del Seminario Matematico della Università di Padova
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Adrian Butscher, Frank Pacard (2006)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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...