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The phrase 'is a challenging problem' is correct and usable in written English.
You can use it when you want to describe a difficult problem or task. For example: "Identifying the most effective solution for climate change is a challenging problem."
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This is a challenging problem.
Messaging is a challenging problem in general.
Membrane protein isolation is a challenging problem.
These pet peeves aside, elections forecasting is a challenging problem.
Reconstruction of abdominal wall defects is a challenging problem.
The repair of large ventral hernias is a challenging problem.
Slope reliability under incomplete probability information is a challenging problem.
Autonomous landing is a challenging problem for aerial robots.
Thus, the controller design is a challenging problem.
This is a challenging problem because security usually implies a tradeoff between performance and functionality.
Detection of recent natural selection is a challenging problem in population genetics.
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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