Title : ( Existence and blow-up results for a weak-viscoelastic plate equation involving $$p(x)-$$Laplacian operator and variable-exponent nonlinearities )
Authors: Mohammad Shahrouzi , Faramarz Tahamtani ,
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Abstract
This paper is concerned with a weak viscoelastic p(x)−Laplacian plate equation with variableexponent nonlinearities. By using the faedo-Galerkin method and the well-known contraction mapping theorem, we prove the local existence of solutions. Moreover, the blow up of solutions has been proved with negative initial energy as well as positive when the variable exponents and weak viscoelastic terms satisfy appropriate conditions.
Keywords
, Existence, blow-up, weak viscoelasticity, p(x)−Laplacian, variable-exponent nonlinearities
@article{paperid:1098070,
author = {Shahrouzi, Mohammad and فرامرز تهمتنی},
title = {Existence and blow-up results for a weak-viscoelastic plate equation involving $$p(x)-$$Laplacian operator and variable-exponent nonlinearities},
journal = {Indian Journal of Pure and Applied Mathematics},
year = {2023},
month = {December},
issn = {0019-5588},
keywords = {Existence; blow-up; weak viscoelasticity; p(x)−Laplacian; variable-exponent nonlinearities},
}
%0 Journal Article
%T Existence and blow-up results for a weak-viscoelastic plate equation involving $$p(x)-$$Laplacian operator and variable-exponent nonlinearities
%A Shahrouzi, Mohammad
%A فرامرز تهمتنی
%J Indian Journal of Pure and Applied Mathematics
%@ 0019-5588
%D 2023
