An existence theorem of constant mean curvature graphs in Euclidean space Research partially supported by DGICYT grant number PB97-0785

Rafael Lpez
2002 Glasgow Mathematical Journal  
We prove the following result of existence of graphs with constant mean curvature in Euclidean space: given a convex bounded planar domain of area aðÞ and a real number H such that aðÞH 2 < =2, there exists a graph on with constant mean curvature H and whose boundary is @.
doi:10.1017/s0017089502030100 fatcat:guzxkqg6hvaprbbkijp4cmregq