Is there any known Poly-APX-complete minimimization problem? All Poly-APX-complete problems I know are maximization problems, e.g. Max Clique, Max Independent Set, Max One for some set of contraints, and even choosing the attributes of a product to maximize (Max again!) the number of customers preferring it, provided that preferences are additive (http://www.sciencedirect.com/science/article/pii/S1568494617300510). Max, max, max... Is there any known Poly-APX-complete Min problem?

I suspect a problem I'm dealing with might be Poly-APX-complete, but it's a minimization problem. If there were some known Poly-APX-complete Min problem, an AP-reduction from it into my target problem would map Min into Min, so proving the Poly-APX-hardness of my target problem would probably be more natural and easier.
I've just discovered there exists at least one confirmed minimization Poly-APX-complete problem: Min ones if setting all variables true satisfies all clauses (together with other conditions). It is shown in "The Approximability of Constraint Satisfaction
Problems" by Sanjeev Khannay, Madhu Sudanz, Luca Trevisanx and David P. Williamson (http://people.csail.mit.edu/madhu/papers/2001/kstw.pdf), Theorem 2.14, item (5).