TITLE

On surfaces of prescribed weighted mean curvature

AUTHOR(S)
Bergner, Matthias; Dittrich, Jens
PUB. DATE
October 2008
SOURCE
Calculus of Variations & Partial Differential Equations;Oct2008, Vol. 33 Issue 2, p169
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
Utilising a weight matrix we study surfaces of prescribed weighted mean curvature which yield a natural generalisation to critical points of anisotropic surface energies. We first derive a differential equation for the normal of immersions with prescribed weighted mean curvature, generalising a result of Clarenz and von der Mosel. Next we study graphs of prescribed weighted mean curvature, for which a quasilinear elliptic equation is proved. Using this equation, we can show height and boundary gradient estimates. Finally, we solve the Dirichlet problem for graphs of prescribed weighted mean curvature.
ACCESSION #
32679859

 

Related Articles

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sign out of this library

Other Topics