论文标题
与Monge-ampère方程相当的凹形复合元素椭圆方程的凹入均匀复合椭圆形方程的均匀估计值
Uniform estimates for concave homogeneous complex degenerate elliptic equations comparable to the Monge-Ampère equation
论文作者
论文摘要
我们证明了一大批完全非线性退化的椭圆形复合方程的强级均匀估计。我们的发现取决于Kuo和Trudinger的想法，他们在真实的环境中处理了堕落的线性方程。我们还为复杂的Monge-Ampère操作员和适当量身定制的$ l^p $ viscosity viscosity subsportions的理论利用了多能理论。
We prove sharp uniform estimates for strong supersolutions of a large class of fully nonlinear degenerate elliptic complex equations. Our findings rely on ideas of Kuo and Trudinger who dealt with degenerate linear equations in the real setting. We also exploit the pluripotential theory for the complex Monge-Ampère operator as well as suitably tailored theory of $L^p$-viscosity subsolutions.
