The constants appearing in this Chapter depend only on Hölder exponents and the following uniform ellipticity bound on $a_{ij}$:

$$C^{-1}\delta_{ij}\leq a_{ij}\leq C\delta_{ij}.$$

The scaling argument can then be used to relax the uniform ellipticity to

(2.11)

$$C^{-1}A^{1/2}\delta_{ij}\leq a_{ij}\leq CA^{1/2}\delta_{ij}.$$

In strategic places we will in fact track down the $A$-dependence as well.