Conformal Killing Graphs with Prescribed Mean Curvature

被引：7

作者：

Dajczer, M. ^{[1
]}

de Lira, J. H. ^{[2
]}

机构：

[1] IMPA, BR-22460320 Rio De Janeiro, Brazil

[2] Univ Fed Ceara, Dept Matemat, BR-60455760 Fortaleza, Ceara, Brazil

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2012年 / 22卷 / 03期

关键词：

Conformal Killing graphs; Prescribed mean curvature; Quasilinear elliptic PDE; RADIAL GRAPHS; EXISTENCE; DIRICHLET; EQUATION;

D O I：

10.1007/s12220-011-9214-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the existence and uniqueness of graphs with prescribed mean curvature function in a large class of Riemannian manifolds which comprises spaces endowed with a conformal Killing vector field.

引用

页码：780 / 799

页数：20

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