I have this problem
$min -x +y $
$x-y^2\leq0 $
$\frac {(x-1)^2}{4} +y^2 \leq 1$
$y \geq -1/2$
- Say if the feasible region is regular or not, analitically.
I know that to check the KKT conditions I have to check the regularity condition in a given point $x_0$, but what does it mean for the "feasible region"? What I have to do?