Title : ( Global existence, asymptotic stability and blow up of solutions for a nonlinear viscoelastic plate equation involving (p(x), q(x))-Laplacian operator )
Authors: Mohammad Shahrouzi , Jorge Ferreira , Faramarz Tahamtani ,
Full TextAbstract
This study aims at investigating the global existence, asymptotic stability and blow up of solutions for a nonlinear viscoelastic fourth-order .p.x/; q.x//-Laplacian equation with variableexponent nonlinearities. First, we prove the global existence of solutions, and next, we show that the solutions are asymptotically stable if initial data p.x/ and q.x/ are in the appropriate range. Moreover, under suitable conditions on initial data, we prove that there exists a finite time in which some solutions blow up with positive as well as negative initial energies.
Keywords
, .p.x/; q.x//-Laplacian, variable exponent, global existence, asymptotic stability, blow up
@article{paperid:1104644,
author = {Shahrouzi, Mohammad and Jorge Ferreira and فرامرز تهمتنی},
title = {Global existence, asymptotic stability and blow up of solutions for a nonlinear viscoelastic plate equation involving (p(x), q(x))-Laplacian operator},
journal = {Zeitschrift fur Analysis und ihre Anwendung},
year = {2023},
volume = {42},
number = {1},
month = {June},
issn = {0232-2064},
pages = {91--115},
numpages = {24},
keywords = {.p.x/; q.x//-Laplacian; variable exponent; global existence; asymptotic stability; blow up},
}
%0 Journal Article
%T Global existence, asymptotic stability and blow up of solutions for a nonlinear viscoelastic plate equation involving (p(x), q(x))-Laplacian operator
%A Shahrouzi, Mohammad
%A Jorge Ferreira
%A فرامرز تهمتنی
%J Zeitschrift fur Analysis und ihre Anwendung
%@ 0232-2064
%D 2023
