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Graphs of maps between manifolds in trace spaces and with vanishing mean oscillation

✍ Scribed by Acerbi, Emilio; Mucci, Domenico


Book ID
123048168
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
876 KB
Volume
31
Category
Article
ISSN
0294-1449

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Recent results in fully nonlinear pde's single out smooth bounded domains in the euclidean 3-space whose boundary has non-vanishing mean curvature. The literature provides no example of such domains when the genus of the boundary is strictly larger than 1. This note fills the gap with an elementary