Found this on the europa web site. Not sure if it mets your needs exactly as it refers to weekly commuting.
Cross-border workers
You are a cross-border worker (employed or self-employed) if you work on one side of a national border but live on the other, and return home at least once a week.
If you use your own car to commute regularly from the country where you live to the country where you work, you have to register it and pay the relevant taxes in the country where you live - but not in the country where you work.
If you drive a company car (registered in the country where you work), you may use it for private purposes in the country where you live without having to register it there. You would then be driving with foreign plates in the country where you live. This may cause concern for the local police, who have to check that people under their jurisdiction have paid national vehicle registration taxes.
If you have problems, you can always contact our assistance services.
Above is the link for more assistanceon the site.In case the link will not work here is the website address http://europa.eu/youreurope/citizens/vehicles/registration/taxes/index_en.htm
Jean