Is there a difference between Battlefield 3 ps3 version and the PC version?

I used to have the Playstation 3 Battlefield 3 and now I have the PC version and there are some elements that did not exist with the ps3, for example I can shoot in the PC version in the jet aud on other jets but in the Ps3 version there was this is not due to the DLCs or does the PC version have more content than the Playstation 3

May be due to the DLCs.

Is due to the DLCs. Otherwise there's no difference. The only difference is that ingame does not have a server browser. I find it extremely impractical that you have to first in a browser window. On the PC, the server search in Bf3 is therefore very bogus.

In terms of content, the titles would have to be approximately identical, apart from minor technical deviations. The level of detail has been reduced somewhat (fewer objects, lower object details, texture quality, effects…) but you had to put the versions directly opposite the general playing style in order to really make out the differences.

Larger differences were there only in Battlefield 4, in which the version for the old consoles had to be changed greatly (fewer players, smaller and much less detailed maps, more limited vehicles…) to ensure with the existing hardware playability.