Looks slim, silky smooth and sexy compared to the fat belly F-35. With 2 engines and a slimmer profile, J-35 will likely be more manuverable and better Power to weight ratio, thus a better dog fighter.
On the flip size, J-35 probably has less range compared to the F-35 just due to less volume compared to the fat F-35. As Anti-ship missiles become more and more formidable, carrier will have to fight from longer ranges in order to avoid anti-ship missiles. So, small range could become a weakness for the J-35.
Also, what is the armament potential of the J-35? It doesn't have side bays, so how will it carry short range missiles? Does it also lack a gun like the J-20?