Some Generalized Properties Of Nonhomogeneous A-harmonic Equation

A armonic equation belongs to nonlinear elliptic partial diferential equation, many scholarshave studied it in recent years. There have had many new results in many ways, these results arewidely used in the natural sciences and engineering, The main purpose of this paper is to studysome Caccioppoli estimate for the A harmonic equationd A(x, a+du)=B(x, u, du) in the firstpart, it is a generalization of equation d A(x, du)=B(x, du), this paper also studies some of itsproperties. such as its Caccioppoliestimates, weak inverse H o¨lder inequality; As an application,this paper also studied the weak inverse H o¨lder inequality of the Aλr3(λ1, λ2,) Rights.