I have the following nonlinear constraint:
$$\sum_{i}\frac{x_{i}}{a_i}>b\left(\sum_{i}x_i\right)^{2},$$
where the $x_i\in[0,1]$-s are decision variables, $b$ and $a_i$, are all positive real numbers.
Can you please help me find a way to make this constraint linear somehow? Is this even a convex constraint (does it define a convex region)?