论文标题

$ p $ - plurisubharmonic功能的内部估计

Interior estimates for $p$-plurisubharmonic functions

论文作者

Dinew, Slawomir

论文摘要

我们研究了$ p $ phurisubharmonic函数类别中的monge-ampère类型方程,并建立了一阶和二阶内部估计。作为这些应用程序,我们表明,具有恒定运算符和二次增长的$ p $ phurisubharmonic功能必须是二次多项式。

We study a Monge-Ampère type equation in the class of $p$-plurisubharmonic functions and establish first and second order interior estimates. As an application of these we show that $p$-plurisubharmonic functions with constant operator and quadratic growth must be quadratic polynomials.

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