I can see why you would think this, but that LM392 opamp/comparator is rated for 50mA maximum current on the inputs, and a TL082/LF353 can only source a maximum of around 20mA @ 0°C, less at room temperature.I think the comparator is fried.
At first it was used with pin 4 to gnd, the input signals could go negative, this probably burnt the comparator.
Replace the comparator and keep pin 4 to - 9 Volts.
could you advice me some complementary mosfets?Just a quick blurb about the MOSFETs our OP selected (I finally was able to read the numbers):
IRF9530 - P-ch (Vdss=-100, Rdson=0.3,Id=12, Qg=38nC)
IRF540 - N-ch (Vdss=100, Rdson=0.077,Id=28, Qg=72nC)
They're poorly matched, and have a rather large gate charge requirement (Qg), in particular the IRF540 at 72nC.
Trying to charge/discharge that gate at 100kHz is going to take a LOT of current!