What rules apply for those who reside in one EEA member state but work in another?
If you reside in one EEA member state but work in another and travel home at least once a week, you are by definition a "crossborder worker." As such, you should preferably be a member of the social security and insurance scheme of the country where you are employed.
Unless you travel home at least once a week, you should be insured in the country where you reside.
Where should you apply for unemployment benefit?
If you are a cross-border worker and work in Norway, you must register as a job-seeker and apply for unemployment benefit at an NAV office when you are:
wholly or partially laid-off
hit by employer’s bankruptcy
This applies even if you are residing in your country of residence while unemployed.
If you are wholly unemployed, you must apply for unemployment benefit in your country of residence.
Are you not a cross-border worker – i.e. if you do not travel home each week – you may choose whether to apply for unemployment benefit from your country of employment or from your country of residence. But the right to receive unemployment benefit from your country of employment requires that you reside there and are registered there as a job-seeker.