摘要
研究了完全非线性退化椭圆方程的粘性边界爆破解问题.利用Keller-Osserman条件及比较原理证明了正粘性解的存在性与唯一性,并得到了边界爆破速率的估计.
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.
出处
《华中师范大学学报(自然科学版)》
CAS
北大核心
2018年第1期1-7,13,共8页
Journal of Central China Normal University:Natural Sciences
基金
国家自然科学基金项目(11371209
11201250)
浙江省自然科学基金项目(Y16A010002)