Blow up at infinity of solutions of polyharmonic Kirchhoff systems

Abstract

This article concerns the blow up at infinity of global solutions of strongly damped polyharmonic Kirchhoff systems, involving lower order terms, a time dependent nonlinear dissipative function Q and a driving force f, under homogeneous Dirichlet boundary conditions. Some applications are presented in special subcases of f and Q.

Keywords:

• blow up at infinity
• polyharmonic Kirchhoff systems
• strong damping terms
• source forces

AMS Subject Classifications::

• Primary: 35L75
• 35L35
• 35B99
• Secondary: 35G60
• 35Q99

Acknowledgements

This work was performed while Francesca Colasuonno was visiting the Università degli Studi di Perugia for a scientific collaboration with Professor Patrizia Pucci, supported by a grant from the Università degli Studi di Bari. This research was supported by the Project Metodi Variazionali ed Equazioni Differenziali alle Derivate Parziali Non Lineari.