Caccioppoli Type Inequality for Weak Solutions of A-harmonic Equation and Its Applications

In this paper, we use a sufficient and necessary condition of weak solutions of A-harmonic equation to obtain the Caccioppoli type inequality and reverse inequality. As some applications of the above results, we derive the , continuity and almost everywhere differentiability for weak solutions of A-harmonic equation, The same results were given for the component functions of quasiregular mappings.