# Ellipticity-type condition

An elliptic operator $$L=\mathrm{div}(A(x)\nabla u)$$, is called uniformly elliptic if $$C^{-1}\mathrm{Id} \le A(x) \le C \mathrm{Id}$$

If $$A$$ depends also on $$u$$, what is the condition

$$C^{-1} + C^{-1}|u|^\alpha\le A(x,u)$$

usually called?