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[en] The strong decay properties of the newly observed states DsJ(3040), DsJ(2860), and DsJ(2710) are studied in a constituent quark model with quark-meson effective Lagrangians. We find that the DsJ(3040) could be identified as the low-mass physical state |2P1>L (JP=1+) from the Ds(21P1)-Ds(23P1) mixing. The DsJ(2710) is likely to be the low-mass mixed state |(SD)>L via the 13D1-23S1 mixing. In our model, the DsJ(2860) cannot be assigned to any single state with a narrow width and compatible partial widths to DK and D*K. Thus, we investigate a two-state scenario as proposed in the literature. In our model, one resonance is likely to be the 13D3 (JP=3-), which mainly decays into DK. The other resonance seems to be the |1D2'>H, i.e. the high-mass state in the 11D2-13D2 mixing with JP=2-, of which the D*K channel is its key decay mode. We also discuss implications arising from these assignments and give predictions for their partner states such as |(SD)'>H, |2P1'>H, 23P0, and 23P2, which could be helpful for the search for these new states in future experiments.