Is there a general method to solve the recurrence of the form:
$T(n) = T(n-n^c) + T(n^c) + f(n)$
for $c < 1$, or more generally
$T(n) = T(n-g(n)) + T(r(n)) + f(n)$
where $g(n),r(n)$ are some sub-linear functions of $n$.
Update: I have gone through the links the provided below and also sifted through all the recurrence relations in Jeff Erickson's notes. This form of the recurrence is not discussed anywhere. Akkra-Bazi method applies only when the split is fractional. Any poignant reference will be apprieciated.