Multiple Solutions For A Kirchhoff-type Equation With General Nonlinearity

This thesis is devoted to the study of the following autonomous Kirchhoff-type equation where M is a continuous non-degenerate function and N ? 2. Under suitable additional conditions on M and general Berestycki-Lions type assumptions on the nonlinearity f, we establish several existence results of multiple solutions by variational methods,which are also naturally interpreted from a non-variational point of view.