UPDATE 22/11/13:
Sigma has released firmware to fix the problems with the following lenses:
・35mm F1.4 DG HSM A012 NIKON
・17-70mm F2.8-4 DC MACRO OS HSM C013 NIKON
・30mm F1.4 DC HSM A013 NIKON
・18-35mm F1.8 DC HSM A013 NIKON
・120-300mm F2.8 DG OS HSM S013 NIKON
The update should make these lenses fully functional with the Nikon D5300. See here for more information and the download link.
ORIGINAL STORY 19/11/13:In a statement on its website, Sigma has said that the current firmware of its Nikon-fit interchangeable lenses 'may not work properly with the Nikon D5300's OS and Live View Auto Focus functions'.
Though it hasn't released specific details, Sigma has said that the problem occurs specifically with Nikon-fit interchangable lenses that incorporate an internal motor.
Sigma will be releasing a free firmware update tomorrow (November 20) that it says should correct the problem. You can contact your nearest Sigma dealer in order to receive the update; Sigma provides a full list here.
See Sigma's website for the full statement.
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We recently completed the What Digital Camera review of the Nikon D5300
Source: Whatdigitalcamera