论文标题
脱离伪pucci的完全非线性操作员的千古对
Ergodic pairs for degenerate pseudo Pucci's fully nonlinear operators
论文作者
论文摘要
我们研究了完全非线性椭圆运算符$ f(\ nabla u,d^2 u)$的千古问题,当梯度的至少一个成分消失时,它们可能会退化。我们在这里扩展了Leonori和Porretta Capuzzo Dolcetta Leoni和Porretta,Birindelli等人的Leonori和Porretta Capuzzo Dolcetta Leoni和Porretta Capuzzo Dolcetta的著名论文。
We study the ergodic problem for fully nonlinear elliptic operators $F( \nabla u, D^2 u)$ which may be degenerate when at least one of the components of the gradient vanishes. We extend here the results in the celebrated paper of Lasry and Lions, the ones of Leonori and Porretta Capuzzo Dolcetta Leoni and Porretta, Birindelli et al.