What version of Premiere Elements is involved and on what computer operating system is it running?
What was your burn to....DVD-VIDEO on DVD disc, AVCHD format on DVD disc, or Blu-ray disc format on Blu-ray disc?
Before you hit the Burn button of the Burn Dialog, what did the Quality Area Space Required and Bitrate read?
What type of disc are you using DVD-R, DVD-RW, or something else? Was the disc previously written to?
Where are your Edit Menu/Preferences/Scratch Disks/Encoding Files directed and how much free space is at that location?
Let us start here and then decide what next.