Kirchhoff systems with dynamic boundary conditions Original Research Article

We are interested in the study of the global non-existence of solutions of hyperbolic nonlinear problems, governed by the pp-Kirchhoff operator, under dynamic boundary conditions, when p>pnp>pn with pn<2pn<2. The systems involve nonlinear external forces and may be affected by a perturbation of the type |u|p−2u|u|p−2u. Several models already treated in the literature are covered in special subcases, and concrete examples are provided for the source term ff and the external nonlinear boundary damping QQ.