GRADIENT ESTIMATES FOR SOLUTIONS TO QUASILINEAR ELLIPTIC EQUATIONS WITH CRITICAL SOBOLEV GROWTH AND HARDY POTENTIAL

摘要

This note is a continuation of the work[17].We study the following quasilinear elliptic equations(■)where 1 < p < N,0 ≤μ <((N-p)/p)~p and Q ∈ L~∞(R^N).Optimal asymptotic estimates on the gradient of solutions are obtained both at the origin and at the infinity.