I searched YouTube for a video on repairing the Battery Tender Junior. The recommendation was to replace the electrolytic capacitor on the circuit card. A new capacitor cost me $0.97. It took 15 minutes to get the tender apart, pull out the circuit card, get my soldering iron out, remove the bad capacitor, install the new one and reassemble.
Viola! Works like new. New Battery Tender Juniors are about $25 on Amazon.
I'll let the video tell the technical story and give the instructions.
Miguel