Estimates for the p‐Laplacian‐type operator in the subcritical Sobolev exponent range

Abstract

We obtain Calderón–Zygmund‐type gradient estimates below the duality exponent of very weak solutions to p‐Laplacian‐type elliptic equations with non‐divergence datum by providing an analytic approach without using the fractional maximal function of order 1 for the non‐divergence datum.