Phase transition, sharp asymptotics and symmetry for critical quasilinear Hartree equations beyond $σ=2p$

We establish the sharp asymptotic and symmetry theory for the critical quasilinear Hartree equation \[ -Δ_pu=\big(|x|^{-σ}*u^{p^*_σ}\big)u^{p^*_σ-1} \quad\text{in }\mathbb R^N, \qquad p^*_σ=\frac{p(2N-σ)}{2(N-p)}, \] in the complementary range $2p<σ<N$, beyond the quasilinear theory previously avail