We are interested in the study of the global non-existence of solutions of hyperbolic nonlinear problems, governed by the p-Kirchhoff operator, under dynamic boundary conditions, when p > p_n with p_n < 2. The systems involve nonlinear external forces and may be affected by a perturbation. Several models already treated in the literature are covered in special subcases, and concrete examples are provided for the source term f and the external nonlinear boundary damping Q.
Kirchhoff systems with dynamic boundary conditions / Autuori, Giuseppina; Pucci, Patrizia. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 73/2010:7(2010), pp. 1952-1965. [10.1016/j.na.2010.05.024]
Kirchhoff systems with dynamic boundary conditions
AUTUORI, GIUSEPPINA;
2010-01-01
Abstract
We are interested in the study of the global non-existence of solutions of hyperbolic nonlinear problems, governed by the p-Kirchhoff operator, under dynamic boundary conditions, when p > p_n with p_n < 2. The systems involve nonlinear external forces and may be affected by a perturbation. Several models already treated in the literature are covered in special subcases, and concrete examples are provided for the source term f and the external nonlinear boundary damping Q.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
