Find in Library

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