Research On The Existence Of Solutions For A Class Of Kirchhoff System

This paper mainly study the existence of the positive solution of the following Kirchhoff system:(?)In chapter one,we mainly introduce related research background,present situation for Kirchhoff equations and systems,and we also get the work of this paper.In chapter two,we mainly get the existence of a positive solution which is a local minimum by Ekeland variational.principle for systems(2).In chapter three,we mainly use mountain pass lemnma to prove the existence of the second solution for systems(2).