Spacelike Graphs of Prescribed Mean Curvature in the Steady State Space

作者：Lopez Rafael

来源：Advanced Nonlinear Studies, 2016, 16(4): 807-819.

DOI：10.1515/ans-2015-5056

• Steady State Space
• Spacelike Hypersurface
• Mean Curvature
• Dirichlet Problem

We study the Dirichlet problem of the constant mean curvature equation in the steady state space over a bounded domain of a slice. Under suitable conditions on the convexity of the domain, we prove the existence of a spacelike graph with constant mean curvature H, with -1 <= H < 0, and constant boundary values.

• 出版日期2016-11