Before revision:  Six applications are discussed : uniqueness of M-estimators, utility maximization with a nonconvex budget set, uniqueness of the policy function in dynamic programming, envelope theorems, limit theory in weakly identified models, and functionals of Brownian motion .
After revision:  Six applications are discussed : uniqueness of M-estimators, both classical likelihood and penalized likelihood estimators, and two applications of the argmin theorem, threshold regression and weak identification .