Ergodic optimization theory for non-degenerate Axiom A flows

In this article, we consider the weighted ergodic optimization problem for non-degenerate Axiom A attractors of a $C^2$ flow on a compact smooth manifold. The main result obtained in this paper is that for generic observables from function spaces $\mc C^{0,\a}$ ($\a\in(0,1]$) and $\mc C^1$ the minimizing measures are uniquely supported on a periodic orbit.