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try to perform a software repair http://www.sonymobile.com/global-en/tools/update-service/
if it doesn't work I suggest you to take your phone to a local service center
did you try to connect it to the chrager? try to chrage it using the wall mount chrager
I have charged it with the mains charger to no avail. It just flickers, and does not even show the Sony logo.
try to perform a software repair http://www.sonymobile.com/global-en/tools/update-service/
if it doesn't work I suggest you to take your phone to a local service center