Blow up results for a viscoelastic Kirchhoff-type equation with logarithmic nonlinearity and strong damping

Abstract

A Kirchhoff equation type with memory term competing with a logarithmic source is considered. By using potential well theory, we obtained the global existence of solution for the initial data in a stability set created from Nehari Manifold and prove blow up results for initial data in the instability set.

Keywords

• existence
• blow up
• kirchhoff-type equation with memory
• logarithmic nonlinearity