I am trying to find examples of applications for the problem
$$\min_{x \in \Omega} f(x)$$ Where $\Omega = \{x \in [a,b]; h(x) = 0 \}$, with $f:\mathbb{R}^n \rightarrow \mathbb{R}$ strictly convex (it has to be strict), $h:\mathbb{R}^n \rightarrow \mathbb{R}^m$ non-convex (it can be convex, for example sake, but preferably not) and $a < b \in \mathbb{R}^n$.
For example purposes $m=1$ should be fine.
Where can I find some examples of this kind of problem that have some practical applications?