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February 11, 2024Open Access

Constant mean curvature graphs with prescribed asymptotic values in E(-1,τ)

Andrea Del Prete

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Abstract

In the homogeneous manifold E(-1,τ), for 0<H<1/2, we prove the existence of entire H-graphs which are asymptotic to a rectifiable curve of the asymptotic boundary. We also find necessary and sufficient conditions for the existence of H-graphs over unbounded domains having prescribed, possibly infinite boundary data.

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Cite This Study

Andrea Del Prete (2024) studied this question.

synapsesocial.com/papers/68e79abcb6db64358770a78f https://doi.org/10.48550/arxiv.2402.07274

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