Existence of least energy sign-changing solutions to Kirchhoff equation with critical growth

In order to deeply study the characteristics of Kirchhoff equation, the existence result of the least energy sign-changing solutions to Kirchhoff equation with Hartree term and critical growth nonlinear term was discussed. The technical result of the space E compact embedding L6([WTHZ]R3)[WTBZ] was obtained by using the infimum of the energy functional on the sign-changing Nehari manifold convergences to zero. The results shows that the minimum point corresponding to the minimizing sequence obtained by the restricted variational method and quantitative deformation lemma is the nontrivial solutions for the problem. The research method in theoretical proof gets effective results and has a certain guiding significance for studying the existence of solutions of other Kirchhoff equations.