华中师范大学学报（自然科学版）2018，Vol.52Issue(1)：1-7,13,8.DOI:10.19603/j.cnki.1000-1190.2018.01.001
完全非线性退化椭圆方程的粘性边界爆破解
The blow-up viscosity solutions for some degenerate fully nonlinear elliptic equations
摘要
Abstract
In this paper,we study the blow-up viscosity solutions for some degenerate fully nonlinear elliptic equations.Based on the Keller-Osserman condition and comparison principle,the existence and uniqueness of positive viscosity solutions are obtained,as well as the blow-up rate of solutions.关键词
完全非线性退化椭圆方程/边界爆破/渐近行为/Keller-Osserman条件Key words
degenerate fully nonlinear elliptic equation/boundary blow-up/asymptotic behavior/Keller-Osserman condition分类
数理科学引用本文复制引用
段红涛,马飞遥,沃维丰..完全非线性退化椭圆方程的粘性边界爆破解[J].华中师范大学学报（自然科学版）,2018,52(1):1-7,13,8.基金项目
国家自然科学基金项目(11371209,11201250) （11371209,11201250）
浙江省自然科学基金项目(Y16A010002). （Y16A010002）
