WEAK MORREY ESTIMATES FOR WEAK SOLUTIONS OF DEGENERATE ELLIPTIC EQUATIONS RELATED TO H?RMANDER'S VECTOR FIELDS

摘要

The aim of this paper is to study regularity of weak solutions to secondorder degenerate elliptic equations constructed by H?rmander's vector fields. Under the assumptions of lower-order terms and the right-hand side of the equation belonging to different Morrey spaces, we establish weak Morrey estimates of weak solutions by using representation formula of very weak solutions, the reverse H?lder's inequality and proving several a priori estimates.