TY - JOUR
T1 - Comparison Principle for Viscosity Solutions with High Growth at Infinity
JO - Journal of Partial Differential Equations
VL - 2
SP - 107
EP - 122
PY - 1997
DA - 1997/10
SN - 10
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5585.html
KW - Comparison principle
KW - viscosity solution
KW - high growth at infinity
AB -  This paper is concerned with the comparison principle for viscosity solutions of the nonlinear elliptic equation F(Du, D²u} + |u|^{s-1}u =f in R^N, where f is uniformly continuous and F satisfies some conditions about p (p > 2}. We got the comparison principle for the viscosity solutions with some high growth at infinity, which relies on the relation between p and s.