'limit demand' is correct and usable in written English.
You can use it to refer to a restriction or limitation on demand for a product or service. For example, "The company was able to limit demand for its new product by adjusting its pricing structure."
The new measures could help limit demand for houses for much of the next decade.
"These charges were first introduced in 1951 to limit demand for NHS dentistry, and that's precisely what they do best.
In 1980, there was debate about raising gasoline taxes and taking other steps to limit demand for gasoline.
In Beijing, and some other big cities, many are not allowed to buy houses or cars, supposedly to limit demand.
It was the Clinton administration's folly, he said, to think that the nation could limit demand and just let supply take care of itself.
And that could in turn limit demand for the American-made chips at the heart of DVD players and the American-made machines used to build them.
Belgrade: says its forces are starved of fuel and cannot withdraw in the manner and time limit demanded by Nato.
Sinn Fein, the I.R.A.'s political wing, said the governments had accepted a time limit demanded by Unionist parties, which want stronger links between Ulster and Britain.
It's partly a failure of the form: the 140-character limit demands you take shortcuts that often lead to misunderstandings and blinds you to the best in others' intentions.
The restriction to four days instead of seven was made to limit demands on the memory of respondents, since activities are recorded retrospectively (Wikström et al. [2012a]: 71).
Maintain a normal family and daily routine, limit demanding responsibilities on yourself and your family.
