 In the September 2010 FIDE World Rankings Eljanov had a rating of 2761, making him number 1 in Ukraine and number 6 in the world.In February 2012, he tied for 1st–3rd with Mateusz Bartel and Anton Korobov in the 11th Aeroflot Open.In February 2013, Eljanov took first place on tiebreak in the strong Reykjavik Open.