The phrase "a greater problem at" is correct and usable in written English.
It can be used when discussing an issue that is more significant or severe in a specific context or location.
Example: "The report highlighted that there is a greater problem at the local level compared to national statistics."
Alternatives: "a more significant issue in" or "a larger concern at".
Sensor recovery posed a great problem at room temperature, and the fast and complete recovery was successfully achieved by using appropriate thermal treatment protocol.
As a theory it is fine but a greater problem for Liverpool at the moment is what to do when they themselves are in possession.
Sanchez's inability to put away Moreland hinted at a greater problem for the Giants: fatigue.
It's a very reliable narrative that stuffy licensing boards who don't understand our culture are trying to shut us down so that they can build anodyne blocks of flats and clinically clean wine bars, and that's not to say this isn't happening — but what if there is an even greater problem at play?
The early flares occurred in association with the most intense serum urate-lowering effect in both febuxostat and allopurinol recipients, and early flares were a greater problem when prophylactic colchicine was stopped at 8 weeks as opposed to 6 months into urate-lowering treatment, but gout flares tapered off later in this study [ 38, 48].
As far as the bigger picture, discussions of inequality seem to only exist when there aren't greater problems at hand (like survival in the midst of war, famine or natural disaster).
In one study, children with parents who found the day surgery to be stressful, experienced greater problems at home such as, fever, vomiting, sleep disorders, eating disorders and postoperative pain, compared with children who had calm parents [ 20].
Their greatest problem at the moment is building control and planning officers, who panic at the sight of something new, especially a toilet that requires no sewage outlet.
"What's clear is that there's a greater institutional problem at the archives that must be fixed, and that is a culture of blatant disregard," McHenry said.
Well, then, there's no great big problem at all.
