题目: On existence theorems of nonlinear partial differential systems in R^n
摘要: Based on complex analysis, we prove a general (local, semi-global) existence of nonlinear partial differential systems with principle part of mixed higher order Cauchy-Riemann operators in dimension two, and then we apply the same framework set forth in dimension two and Newtonian potentials to proved a general (local, semi-global) existence of nonlinear partial differential systems with principle part of higher order Laplace operators in any dimensions.