Title : ( Well-Posedness and Blow-Up of Solutions to a p(x)-Laplacian Plate Equation With Variable-Exponent Nonlocal Damping and Logarithmic Source )
Authors: Mohammad Shahrouzi , Zulal Misir ,
Full TextAbstract
This paper investigates a class of nonlinear plate equations with the ????(????)-Laplacian operator and a nonlocal damping term in the presence of a variable-exponent logarithmic source. Using the Faedo-Galerkin approximation, we establish the existence of local weak solutions. Subsequently, after demonstrating that these local solutions extend globally in time, we prove their asymptotic stability. Finally, employing a contradiction method, we show that there exists a finite time at which the solutions blow up, provided the initial data satisfy appropriate conditions.
Keywords
, blow, up; existence; logarithmic term; nonlinear nonlocal damping; ????(????), Laplacian; stability; variable exponent
@article{paperid:1107147,
author = {Shahrouzi, Mohammad and زلال میسیر},
title = {Well-Posedness and Blow-Up of Solutions to a p(x)-Laplacian Plate Equation With Variable-Exponent Nonlocal Damping and Logarithmic Source},
journal = {Mathematical Methods in the Applied Sciences},
year = {2026},
month = {April},
issn = {0170-4214},
pages = {1--25},
numpages = {24},
keywords = {blow-up; existence; logarithmic term; nonlinear nonlocal damping; ????(????)-Laplacian; stability; variable exponent},
}
%0 Journal Article
%T Well-Posedness and Blow-Up of Solutions to a p(x)-Laplacian Plate Equation With Variable-Exponent Nonlocal Damping and Logarithmic Source
%A Shahrouzi, Mohammad
%A زلال میسیر
%J Mathematical Methods in the Applied Sciences
%@ 0170-4214
%D 2026
