Hessian Equations with infinite Dirichlet boundary value
Analysis of PDEs
2007-05-23 v1
Abstract
In this paper, we study the Hessian equation with infinite Dirichlet (blow-up) boundary value conditions. Using radial functions and techniques of ordinary differential inequality, we construct various barrier functions (super-solution and sub-solution). Existence and non-existence theorems are proved by those barriers, maximum principle and theory of viscous solutions. Furthermore, generic boundary blow-up rates for the solutions are derived.
Cite
@article{arxiv.math/0611907,
title = {Hessian Equations with infinite Dirichlet boundary value},
author = {Huaiyu Jian},
journal= {arXiv preprint arXiv:math/0611907},
year = {2007}
}
Comments
17pages