Follow the link/s to possible options,
- https://www.google.com/search?q=mint+uefi+install
- https://wiki.ubuntu.com/EFIBootLoaders
- https://help.ubuntu.com/community/UEFI
- http://ubuntuforums.org/showthread.php?t=2147295
- https://wiki.archlinux.org/index.php/Unified_Extensible_Firmware_Interface
- http://www.linuxmint.com/rel_qiana_mate.php (uefi specific issues)
- https://bugs.launchpad.net/ubuntu/+source/grub2/+bug/1242417 (uefi-bug)
- http://www.zdnet.com/article/hands-on-installing-opensuse-tumbleweed-on-my-new-acer-aspire-v3-331/ , notice the quirks associated with the acer, yours may also need to be tweaked in order to work, and yes i know it was an opensuse install, the point is the uefi quirks needing to be worked out.
How to install Linux on UEFI systems where GRUB fail to install;
To check for uefi on a win machine;
how to disable UEFI from the win8/8.1 side