m Components-admissible solutions of systems of higher-order partial differential equations on Cn

Using value distribution theory and techniques in several complex variables,we investigate the problem of existence of m components-admissible solutions of a class of systems of higher-order partial differential equations in several complex variables and estimate the number of admissible components of solutions. Some related results will also be obtained. Supported by the National Natural Science Foundation of China (No. 10471065) and the Natural Science Foundation of Guangdong Province (No.04010474)