「〜でない。」, which isn't particularly common as a sentence-ender, does occasionally get used.
I get the feeling it is pretty curt; I often see it with 「〜べきでない。」 or 「ただし、〜は、この限りでない。」 or 「〜は明らかでない。」, etc.
However, I don't have a good understanding of when it makes sense to choose it over 「〜ではない。」. Is it when you're trying to be more declarative/emotionless as opposed to emphatic/opinionated?
Basically it's a matter of grammar rather than nuance.
As you may know, 「は」 in 「ではない」 is (semantically almost bleached out but still functioning) topic marker in the theme-rheme structure of Japanese. In other words, it delimits theme and rheme parts of a clause. And one clause may only contain up to one theme and rheme respectively.
Then, what happens if you use two は at once in a sentence?
核兵器は使用するべきではない。
You may feel a sense of dissonance because:
It has two possible breakdowns so you can't decide which is the main theme of the sentence.
(Note that some people don't feel anything wrong because they conceive ではない to be a monolithic chunk.)
Thus carefully written sentences often omit the は in ではない in order to avoid confusing readers by any chance.
Of course, in the colloquial language, じゃない has taken over them so that the difference between でない and ではない is neutralized.
最も有名でない usually means the least famous while 最も有名ではない usually means not the most famous. That said, you don't have to be too serious.
