Beltrami Equation With Three Characteristic Matrices In Even Dimensions

This paper considers Beltrami equation with three characteristic matrices in even dimensions which can be regarded as the generalized form of Beltrami equation and Beltrami equation with two characteristic matrices. First we deform the Beltrami equation with three characteristic matrices to a elliptic system of divergence form. Then we derive the conditions of the operator A: the Lipschitz type condition, the monotonicity inequality, the homogenity condition, and the controlled increasing condition of theoperator B.