Kirchhoff systems with dynamic boundary conditions |
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Authors: | Giuseppina Autuori |
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Affiliation: | Dipartimento di Matematica e Informatica, Università degli Studi di Perugia, Via Vanvitelli 1, 06123 Perugia, Italy |
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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>pn with pn<2. The systems involve nonlinear external forces and may be affected by a perturbation of the type |u|p−2u. 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. |
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Keywords: | primary, 35L70, 35L20 secondary, 35Q72 |
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