MAXIMUM PRINCIPLES OF NONHOMOGENEOUS SUBELLIPTIC P-LAPLACE EQUATIONS AND APPLICATIONS

摘要

Maximum principles for weak solutions of nonhomogeneous subelliptic p-Laplace equations related to smooth vector fields {Xj} satisfying the H(o)rmander condition are proved by the choice of suitable test functions and the adaption of the classical Moser iteration method. Some applications are given in this paper.