Abstract
A fast diffusion -Laplace equation with special medium void is considered. Global existence of weak solutions is obtained by using comparison principle and ordinary differential inequalities. Moreover, sufficient conditions for the solutions to vanish in finite time or not are derived with the help of Hardy–Littlewood–Sobolev inequality.
Citation
Yuzhu Han. Xian Liu. "Global existence and extinction of solutions to a fast diffusion $p$-Laplace equation with special medium void." Rocky Mountain J. Math. 51 (3) 869 - 881, June 2021. https://doi.org/10.1216/rmj.2021.51.869
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