demesne vs domain

demesne and domain both are nouns.

Word	Noun	Adjective	Verb	Adverb
demesne	Yes	No	No	No
domain	Yes	No	No	No

As nouns, demesne and domain are synonyms defined as:

Other synonyms of demesne include land.

demesne (noun)	domain (noun)
territory over which rule or control is exercised	the content of a particular field of knowledge
extensive landed property (especially in the country) retained by the owner for his own use	people in general; especially a distinctive group of people with some shared interest
	(mathematics) the set of values of the independent variable for which a function is defined
	territory over which rule or control is exercised
	a particular environment or walk of life