Existence Of Ground State Solutions For A Class Of Nonlinear Kirchhoff Systems

In recent years,great progress has been made in the study of nolinear Kirchhoff recently.Especially,many physical problems such as nonlinear optics can be solved by Kirchhoff systems.Therefore,it has received a great deal of attention.The exis-tence,the multiplicity and other properties of its ground state solutions and bound state solutions are being studied by many mathematicians.Lots of research results have been achieved and many physical problems have been solved.In the dissertation,the existence and the positive energy functional of solutions of a type of Kirchhoff systems are mainly studied.In order to prove them,energy function and Pohozaev function of the equations are constructed combined with the variational methods,the reduction to absurdity and critical point theory.