Title : ( Global existence and blow-up results for a nonlinear viscoelastic higher-order p(x)-Laplacian equation )
Authors: Mohammad Shahrouzi ,
Full TextAbstract
This study aims for the global existence and blow-up of solutions for a class of nonlinear viscoelastic higher-order p(x)-Laplacian equations. First, we prove the global existence of solutions in the appropriate range of the variable exponents and next, by using different methods, we prove the blow-up of solutions with positive and negative initial energy. Our results are new, and it is the first time that taken into consideration, extending and improving the earlier results in the literature, such as (Bol. Soc. Mat. Mex.., 2023, https://doi.org/10.1007/s40590-023-00551-x).
Keywords
, global existence, blow-up, higher-order, viscoelastic, p(x)-Laplacian
@article{paperid:1104103,
author = {Shahrouzi, Mohammad},
title = {Global existence and blow-up results for a nonlinear viscoelastic higher-order p(x)-Laplacian equation},
journal = {International Journal of Nonlinear Analysis and Applications},
year = {2025},
volume = {1},
number = {1},
month = {September},
issn = {2008-6822},
pages = {1--14},
numpages = {13},
keywords = {global existence; blow-up; higher-order; viscoelastic; p(x)-Laplacian},
}
%0 Journal Article
%T Global existence and blow-up results for a nonlinear viscoelastic higher-order p(x)-Laplacian equation
%A Shahrouzi, Mohammad
%J International Journal of Nonlinear Analysis and Applications
%@ 2008-6822
%D 2025
