The Existence Of Weak Solutions For A Class Of Elliptic Equation Systems

Nonlinear elliptic partial differential equations of second order is a main branch of nonlinear partial differential equations. It has many applications in mathematics, physics, science , technology and engineering.Recently, mathematicians offered many methods to study the existence of weak solutions to nonlinear partial differential equations, such as variational principle, topological degree principle, theory of monotonic operators, etc. In paper [1~2], authors also offered a method to study the existence of weak solutions to nonlinear partial differential equations by using the acute angle principle of weak continuous operator. In this paper we discuss the existence of weak solutions for a class of elliptic equation systems by using the method which was introduced in paper[1~2].