I just came over a great LaTeX editor named TexMaker. It seems to fit my needs perfectly, with auto-complete and mapping between tex and PDF files. It does however not have a Norwegian dictionary installed, but this is easily fixed:

  1. Download the Norwegian dictionary pack from OpenOffice’s dictionary list, or use this direct link.
  2. Unpack the zip file and unpack the nb_NO.zip file inside this again.
  3. Open up TexMaker > Options > Configure Texmaker
    (It is under Preferences if you are using Mac)
  4. Go to Editor and click the folder icon to browse to your nb_NO.dic file.
  5. TexMaker should now use the Norwegian dictionary.

Enjoy!