Phone [Q] S3 Mini Touchscreen Calibration

I have a weird problem with my S3 Mini. I replaced my broken screen with a samsung original replacement part - replacing run smoothly and I had no problems at all (wasn't my 1st phone and I have a lot of knowledge on electronics, even used esd mat and wrist band).

The new display itself is working fine but the digitizer gives me some troubles... if the phone is charging the screen is overall very responsive, you can tap on every corner and every tap is recognized but if the phone is on battery the phone reacts a lot different. Overall responsiveness is worse but working and recognizing every tap except in the right third off the screen. If you tap 5 times, only 3 taps are recognized.

I believe this "issue" can possibly resolved by software and/or calibration of the screen - do you have tipps?