The Regularity Of Very Weak Solutions For Obstacle Problem Of Nonmohogeneous

The apply of harmonic equation is know to all. Our interesting is to get the regularity results of their solutions, recently for obstacle problems. Many interesting results have been obtained for the solutions of harmonic equation and their obstacle problems, however the definition and regularity results for nonhomogeneous elliptic equation (1.1) stall be unknown.In this paper , we extend the conclusions of [1] and [2], give the definition and obtain some results of the very weak solution to obstacle problems for nonhomogeneous elliptic equation. Here we used Poincare inequality, Young inequality, Holder inequality and Hodge decompose etc.Now we shall list our contribution to the obstacle problem:? The definition of the very weak solution to obstacle problems for nonhomogeneous elliptic equation.? Use Poincare inequality, Young inequality, Holder inequality and Hodge decompose etc. obtained some properties of the solution.