A Caccioppoli-type estimate for very weak solutions to obstacle problems with weight

摘要

This paper gives a Caccioppoli-type estimate for very weak solutions to obstacle problems of the A-harmonic equation div A(x,△u) = 0 with |A(x,ξ)| ≈ w(x)|ξ|~(p-1), where 1 < ∞ and w(x) be a Muckenhoupt A_1 weight.