Global solutions for a nonlinear Kirchhoff type equation with viscosity

In this paper we consider the existence and asymptotic behavior of solutions of the following nonlinear Kirchhoff type problem \[u_{tt}- M\left(\,\displaystyle \int_{\Omega}|\nabla u|^{2}\, dx\right)\triangle u - \delta\triangle u_{t}= \mu|u|^{\rho-2}u\quad \text{in } \Omega \times ]0,\infty[,\] whe...

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Bibliographic Details
Main Author: Eugenio Cabanillas Lapa
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2023-06-01
Series:Opuscula Mathematica
Subjects:
Online Access:https://www.opuscula.agh.edu.pl/vol43/5/art/opuscula_math_4333.pdf