On a nonlinear system of plate equations with variable exponent nonlinearity and logarithmic source terms: Existence and stability results

On a nonlinear system of plate equations with variable exponent nonlinearity and logarithmic source terms: Existence and stability results

In this paper, we consider a coupling non-linear system of two plate equations with logarithmic source terms. First, we study the local existence of solutions of the system using the Faedo-Galerkin method and Banach fixed point theorem. Second, we prove the global existence of solutions of the syste...

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Bibliographic Details
Main Authors: Adel M. Al-Mahdi, Mohammad M. Al-Gharabli, Nasser-Eddine Tatar
Format: Article
Language:English
Published: AIMS Press 2023-06-01
Series:AIMS Mathematics
Subjects:
plate equations
variable-exponent
logarithmic nonlinearity
logarithmic sobolev inequality
galerkin method
banach fixed point theorem
multiplier method
exponential decay
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20231018?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.20231018?viewType=HTML

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