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Graphs with Prescribed Mean Curvature on Poincaré Disk
Author(s) -
Duc Duong Minh,
van Hieu Nguyen
Publication year - 1995
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/27.4.353
Subject(s) - mathematics , uniqueness , unit disk , curvature , mean curvature , poincaré conjecture , mathematical analysis , unit (ring theory) , geometry , mathematics education
We establish the existence and uniqueness of a solution of a quasilinear elliptic equation in the unit disk of R 2 . Using this result, we obtain the existence of graphs with prescribed curvature on the Poincaré disk.