Ayazoglu Mashiyev, RabilAkkoyunlu, Ebubekir2024-10-042024-10-0420222306-2193http://hdl.handle.net/20.500.12403/3971In this paper, we study a class of p(·)-Laplace equation including nonstandard growth nonlinearity in a bounded smooth domain with homogeneous Dirichlet boundary condition. We establish the conditions of non-extinction and extinction are studied of global weak solutions in finite time for any initial data u0 . Moreover, we show the global existence results for N ? 1 with constant p for any initial data u0 . © 2022, Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan. All rights reserved.eninfo:eu-repo/semantics/closedAccessextinctionglobal existencenon-extinctionp(·)-LaplacianParabolic equationparametricvariable exponentArticle42126412-s2.0-85131524357Q3