I have occasionlly had the same issue with stalling somewhere between SG 1.015 and 1.010, especially if using an ale yeast like S04 which has a high demand for nutrients. The trees in my small orchard are unfertilised and old, so I suspect my apples might be a bit low in YAN with not enough for complete fermentation. Decanting and adding a small amount of DAP (and sometimes yeast, for insurance) then rebottling seems to fix the problem.
FYI the last episode involved bottling at SG 1.011, monitoring carbonation pressure, and planning to pasteurise at about 1.6 bar for something like FG 1.006. It initially stalled at 1 bar (just a psst on opening). Rebottling with added sugar back to SG1.011, a pinch of yeast and DAP resulted in 1.6bar (for 2.5 volumes of C02) at SG 1.005... just about what I wanted.
I dose according to Claude and Andrew''s suggestion that 40-50ppm of DAP is needed for a 10 gravity point drop in a stalled ferment.