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- W2084961923 abstract "We extend the classical existence and uniqueness theory of Jenkins-Serrin $(H=0)$ and Spruck $(H>0)$ for the constant mean curvature equation over a domain in $R^2$, to domains in $H^2$ or $S^2$. This theory allows prescribed boundary data including plus or minus infinity on entire arcs of the boundary. Necessarily these arc must have curvature $+2H$ or $-2H$ with respect to the domain. We give necessary and sufficient conditions for existence in terms of so called admissible polygons. The key idea, as in previous proofs, is to study the flux of monotone increasing and decreasing sequences of solutions." @default.
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- W2084961923 date "2009-01-01" @default.
- W2084961923 modified "2023-10-17" @default.
- W2084961923 title "Infinite boundary value problems for constant mean curvature graphs in ℍ<sup xmlns:m=http://www.w3.org/1998/Math/MathML xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>2</sup> × ℝ and <b>S</b><sup xmlns:m=http://www.w3.org/1998/Math/MathML xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>2</sup> × ℝ" @default.
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- W2084961923 doi "https://doi.org/10.1353/ajm.0.0040" @default.
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