There will be massive performance issues due to driver support and in the way modern Adobe apps use the GPU to handle a lot of the work. Over the past few years as GPU's have become insanely powerful, Adobe have retooled a lot of their apps to make use of that number-crunching - before you could bruteforce it with a decent CPU but now a lot of program functions are handled by the graphics card - even things like canvas scaling and rotation are only active using the GPU.
Until Adobe make native versions (and there is corresponding driver support - nVidia run drivers built specifically for creative apps like those from Adobe and Autodesk), I wouldn't even consider using Linux for any type of creative work, to be honest.