Existence of sign-changing solution with least energy for a class of Kirchhoff-type equations in RN

摘要

We consider the existence of least energy sign-changing (nodal) solutionof Kirchhoff-type elliptic problems with general nonlinearity. Using a truncated technique and constrained minimization on the nodal Nehari manifold, we obtain that theKirchhoff-type elliptic problem possesses one least energy sign-changing solution byapplying a Poho?aev type identity. Moreover, the energy of the sign-changing solutionis strictly more than the ground state energy.