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Compact CMC Graphs in \(M\times \mathbb {R}\) with Boundary in Two Horizontal Slices

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Abstract

We establish existence and uniqueness of compact graphs of cons tant mean curvature in \(M\times \mathbb {R}\), over bounded domains contained in \(M\times \left\{ 0\right\} \), with boundary lying in two horizontal slices of \(M\times \mathbb {R}\).

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Correspondence to L. Sauer.

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Aiolfi, A., Nunes, G., Sauer, L. et al. Compact CMC Graphs in \(M\times \mathbb {R}\) with Boundary in Two Horizontal Slices. Bull Braz Math Soc, New Series 49, 659–672 (2018). https://doi.org/10.1007/s00574-017-0064-6

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  • DOI: https://doi.org/10.1007/s00574-017-0064-6

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