Quasiminimizers of the r-Dirichlet Integral for the Very Weak Solutions of Obstacle Problems

摘要

This paper studies the obstacle problems associated with two order non-homogeneous elliptic equation div A (x, $nabla$ u) = f(x), gives the definition of solutions of second order degenerate non-homogeneous obstacle problems, and making use of the Hodge decomposition and others, acquire a properties about quasiminimizers of the r-Dirichlet integral on the very weak solutions.