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The phrase "a difficult problem to" is correct and usable in written English.
It can be used when introducing a challenge or issue that requires attention or resolution.
Example: "Finding a solution to climate change is a difficult problem to tackle effectively."
Alternatives: "a challenging issue to" or "a tough situation to".
Exact(58)
However, in this approach, there is a difficult problem to cope with: multi-parallel and multistep reactions require the compartmentation of beads.
It is a difficult problem to solve.
For patients, it can be a difficult problem to navigate.
It seems like a difficult problem to me.
Control of a parallel robot, however, renders a difficult problem to control engineers.
This is a difficult problem to solve in that it is often an ill-defined problem.
This is a difficult problem to address, although anonymous reports should somewhat resolve the issue of the fear of reporting.
The walls erected by New York State are unsightly reminders that this is a difficult problem to solve.
With such a precarious and hostile atmosphere for journalists, this is going to be a difficult problem to address.
Similar(2)
Obesity is a difficult problem to conquer without the cooperation of the food industry.
However, it's a difficult problem to address.
More suggestions(15)
a complicated problem to
a difficult subject to
a complex problem to
a serious problem to
a difficult dilemma to
a sticky problem to
a knotty problem to
a difficult challenge to
a delicate problem to
a tough problem to
a tricky problem to
a difficult issue to
a difficult task to
a difficult decision to
a difficult feat to
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com