"problem is felt" is correct and usable in written English.
You can use it to express that someone is experiencing an issue, either physically or emotionally. For example, "Some of the workers in the factory felt the problem of long hours and low pay."
This kind of problem is felt in many fields of engineering and physics, where an adjustment of a mathematical model on experimental observation is needed.
The problem is felt by all citizens, but none experience it more acutely than those living next to the straining landfill sites.
British Columbia stresses long holidays (time to hike and ski), while in Britain, potential mandarins are told of the heroic role they might play in a catastrophe.In some rich democracies, the personnel problem is felt only in specific areas.
"I still think the terrorism problem is felt as a little bit remote, as a little bit America's problem," Mr. Wolfowitz told reporters traveling with him to a three-day regional security conference here that ends on Sunday.
When this equipment fails, the problem is felt immediately and painfully by customers.
Google is so big and so popular that even the slightest outage or problem is felt across the web.
Arne Salkin, an account executive with Transworld Systems, a 39-year-old national collections agency, said the problem was felt by owners in an array of businesses.
Addressing emotional and relational problems is felt to be too complicated.
Here in Finland, Nokia's problems are felt especially keenly.
It said: "Due to the economic problems being felt in this country and abroad, the sale of horses and ponies has dramatically decreased.
"I just don't think we've done anything over the last 10 years" to ward off the energy problems being felt today.
