@Article{ DavCap23, author = { Capuzzo Dolcetta, Italo and Davini, Andrea }, title = { On the vanishing discount approximation for compactly supported perturbations of periodic Hamiltonians: the 1d case }, journal = { Comm. Partial Differential Equations }, year = { 2023 }, volume = { 48 }, number = { 4 }, pages = { 576–622 }, URL = { http://cvgmt.sns.it/paper/6144/ }, note = { cvgmt preprint} }