The disclosure relates particularly to certain carboxamide, sulfonamide and amine compounds and pharmaceutical compositions thereof, and to methods of treating and ameliorating disorders and conditions related to the adiponectin pathway, sphingolipid metabolism, oxidative stress, mitochondrial dysfunction, free radical damage and metabolic inefficiency, among others. In certain embodiments, the compounds have the structures (I-1), (2-I) and (3-I) in which the variables are as described herein.