The phrase "a further challenge for" is correct and usable in written English.
It can be used when discussing an additional difficulty or obstacle that someone or something must face.
Example: "The new regulations present a further challenge for small businesses trying to comply with the law."
Alternatives: "an additional challenge for" or "a subsequent challenge for".
Explaining it all to the public, he said, will be a further challenge for regulators and automakers.
I enjoyed Scott Atkinson's Friday offering very much, but set a further challenge for myself today by doing the puzzle mostly from the Across clues.
A further challenge for Portugal is that its banks, which have been shut out of the markets over the past year, need to raise additional money by the end of April to comply with stricter capital requirements.
MADRID — Catalonia, Spain's northeastern region, is set to be led by a government demanding greater fiscal autonomy from Madrid, adding a further challenge for José Luis Rodríguez Zapatero, the country's embattled Socialist prime minister.
A further challenge for the House approach to housing finance reform is to avoid inadvertently recreating the implicit guarantee of the previous system, under which policy makers provided a retroactive guarantee when the crisis hit.
This is a further challenge for future research.
A further challenge: bracing for ObamaCare.
A further challenge is the requirement for endocytosis of the construct following target receptor binding.
In a further challenge to his reelection chances for 2017, the party's national council announced on Saturday that it would back a primary contest to select a single presidential candidate for the broader French left – a prospect that is likely to embolden potential Socialist challengers.
A further challenge is to close loops, for example feedback from service delivery to the beginning-of-life phase of products.
A further challenge in using the ED for screening is a poor follow-up by physicians.
