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Is there a particular adjective for this description?
To describe a person?
+1
obstreperous
fractious
refractory
recalcitrant

A lot depends on why the person is difficult to deal with. All those mean something like "defiant". He could also be violent, stupid, smelly, silly or a hundred other things.
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Hi,

Maybe tough or strict.

Regards
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Tom: How come you don't ever talk to Tony anymore?

Ralph: I have given up on him. He's one ornery cuss

Tom: You're right. He's a hopeless case.
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Hi,

Come to think of it, we'd also describe such a person as a tough / hard nut (to crack).

PS -- I assume that is why I used the words tough / strict in my previous post.

Regards