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Existence and uniqueness of solutions to the constant mean curvature equation with nonzero Neumann boundary data in product manifold $M^{n}\times\mathbb{R}$

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Publication:4998080
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zbMath1474.35340arXiv2001.11840MaRDI QIDQ4998080

Chunlan Song, Jing Mao, Ya Gao

Publication date: 1 July 2021

Full work available at URL: https://arxiv.org/abs/2001.11840


zbMATH Keywords

convexityRicci curvatureNeumann boundary conditionconstant mean curvatureproduct manifold


Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Quasilinear elliptic equations with mean curvature operator (35J93)


Related Items (3)

A stability result for translating spacelike graphs in Lorentz manifolds ⋮ Mean curvature type flows of graphs with nonzero Neumann boundary data in product manifold \(M^n \times \mathbb{R} \) ⋮ Translating solutions of the nonparametric mean curvature flow with nonzero Neumann boundary data in product manifold \(M^n \times \mathbb{R}\)




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