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Extinction and Non-extinction of Solutions to a Fast Diffusion p-Laplace Equation with Logarithmic Non-linearity |
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| Authors: | Deng Xiumei Zhou Jun |
| Affiliation: | 1.School of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing, 404100, People’s Republic of China ;2.School of Mathematics and Statistics, Southwest University, Chongqing, 400715, People’s Republic of China ; |
| Abstract: | This paper deals with a class of fast diffusion p-Laplace equation with logarithmic non-linearity in a bounded smooth domain with homogeneous Dirichlet boundary condition. By using energy estimates and some ordinary differential inequalities, we study the conditions on extinction and non-extinction of global solutions. The results of this paper extend and complete the previous studies on this equation. |
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