Question:
A male relative of mine unfortunately, rachmana l’tzlan, married a non-Jewish woman. She had a huge inheritance from her late father and bought the house they presently live in. Is there any requirement for mezuzot to be put on the doors of their house?
Answer:
There is a big halachic dispute regarding a house shared by a Jew and non Jew if there is a requirement for mezuzos. I once asked Hagaon Reb Y.S. Elyashiv this very question regarding a mixed couple and he said not to put mezuzos on the door.
Sources:
Ramo Y:D 286:1, ibid Beis Yosef Bedek Habayis, Prisha, Shach, Taz, Kitzur Shulchan Aruch 19, Maharshal Chullin Chap 11, Hagroh, Beis Meir, Birkey Yosef, Aruch Hashulchon. See also O:CH 14 Mishnah Berurah17. Teshuvos Lev Avrohom 97 & Shov VeRofeh 2:58.