Boundedness Results For Very Weak And Weak Solutions Of Obstacle Problem

This paper deals with the local boundedness for very weak solutions ofΚψ,θr-obstacle problems to the equation and the local boundedness for weak solutions of obstacle prob-lems of non-homogeneous elliptic equationWe first consider the local boundedness for very weak solutions ofΚψ,θr-obstacle problems to the equation by means of cutoff function and Young inequality,Hodge de-composotion and Holder inequality. Secondly we obtain the local boundedness for weak solutions of non-homogeneous elliptic equation by constructing a test function and using Young inequality, Holder inequality and Poincare inequality.