The simple solution is to run Postgres replicas in those regions and do local reads for your app while directing the writes to the master region. This works well for read-heavy apps, and you can also put the master in a geographically central location to help with write latency.
If you need cross-region multi-master then I recommend something like CockroachDB or Yugabyte that have regional distribution as a core feature.
If you need cross-region multi-master then I recommend something like CockroachDB or Yugabyte that have regional distribution as a core feature.