PDE and hypersurfaces with prescribed mean curvature
Differential Geometry
2019-12-02 v1
Abstract
These are lecture notes for the mini-course \textit{PDE and hypersurfaces with prescribed mean curvature} held in Federal University of S\~ao Carlos at the Workshop on Submanifold Theory and Geometric Analysis, August 05 -- 09, 2019. The aim of these notes is to introduce to the geometers useful tools from the \textit{Theory of partial differential equations} which are used in order to obtain hypersurfaces with prescribed mean curvature. For instance, graphs with prescribed mean curvature can be obtained by solving the Dirichlet problem for a particular quasilinear elliptic partial differential equation of second order.
Keywords
Cite
@article{arxiv.1911.12679,
title = {PDE and hypersurfaces with prescribed mean curvature},
author = {Yunelsy N Alvarez},
journal= {arXiv preprint arXiv:1911.12679},
year = {2019}
}
Comments
ISBN 978858003516-8