A nonlinear Calderón-Zygmund $L^2$-theory for the Dirichlet problem involving $-|Du{|}^{\gamma }{\Delta }_p^{N}u=f$

Qianyun Miao, Fa Peng, Yuan Zhou

We establish a nonlinear Calderón-Zygmund $L^2$-theory to the Dirichlet problem $$-|Du|^γΔ^N_p u=f\in L^2(Ω)\quad {\rm in}\quad Ω; \quad u=0 \ \mbox{on $\partialΩ$} $$ for $n\ge 2$,…