On two-dimensional immersions of prescribed mean curvature in R^n

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We consider two-dimensional immersions of disc-type in R^n. We focus well known classical concepts and study the nonlinear elliptic systems of such mappings. Using an Osserman-type condition we give a priori-estimates of the principle curvatures for certain graphs in R^4 with prescribed mean curvature.
12 pages

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Differential Geometry, 53A10 (Primary) 35J60, 53A07 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/74794

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0504079
 http://arxiv.org/abs/math/0504079

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arXiv