It seems that Minimize
does not work well with parameters and with Abs
. Here is a workaroud:
Maximize[{MinValue[{Sqrt[(u - v)^2], 3 <= u <= 5}, u], 7/2 <= v <= 6},
v]
The following result seems wrong:
MinValue[{RealAbs[u - v], 3 <= u <= 5}, u, Reals] // PiecewiseExpand
Piecewise[{{3 - v, u - v >= 0}}, -5 + v]