A student of Rav Soloveitchick used to come to Israel for the Yomim Tovim. He asked Rav Soloveitchick what to do and he was told to refrain from doing forbidden labor on the second day of the holiday and also to lay tefillin [known as "a day and a half"]. Some time later he bought an apartment and asked Rav S. if the halacha is different for him. The answer was "Yes! Now you have to pay taxes in Israel. But as far as Yom Tov Sheni is concerned you must continue refraining from melacha on the second day as a ben chutz la'aretz does."

[Beis Yitzchak Page 32]