"face a serious problem" is grammatically correct and commonly used in written English.
It means to confront or deal with a major issue or difficulty. Example: The company is currently facing a serious problem with their product's malfunctioning, which has led to a decrease in sales.
But in the longer term America's armed forces face a serious problem.
The changes one hesitates to call them reforms as yet do at least imply that North Korea's leaders realise that they face a serious problem, and understand, however dimly, that the solution must have something to do with markets.
"We are asking the world to help us with this experience, which will allow the adoption of a social and political experiment to face a serious problem – drug trafficking," he said earlier this month.
Both Richard's account and the modified neo-Russellian version of that account sketched above face a serious problem: The problem of conflicting restrictions.
"This shows that Chinese websites still face a serious problem from being maliciously attacked by foreign hackers or IP addresses," he said.
As teachers prepare to return to the classroom this fall, especially social studies teachers, they face a serious problem.
The prospective biographer of Henry Fielding faces a serious problem in the paucity of the documentary evidence which has survived him.
Dagan then said he was concerned about how long Pakistani President Musharraf would survive: "He is facing a serious problem with the militants.
He must also decide whether to retain Manager Kirk Gibson and the coaching staff, and he faces a serious problem in overhauling a Diamondbacks offense that on Tuesday became the first team to strike out 1,400 times in a season.
"We were encouraged that he understands the country is facing a serious problem that there is not enough affordable housing for low-income families," said Sheila Crowley, president of the National Low Income Housing Coalition.
