In this short paper, the authors investigate the extinction and non-extinction of solutions to a fast diffusive p-Laplace equation with a nonlocal source and an absorption term. By applying the super-solution and sub-solution methods, instead of energy estimate methods, they give a classification of the exponents and coefficients for the solutions to vanish in finite time or not, which generalizes some previous results.
Han, Y., Li, H., & Gao, W. (2014). Extinction and Non-Extinction of Solutions to a p-Laplace Equation with a Nonlocal Source and an Absorption Term. Mathematical Modelling and Analysis, 19(2), 169-179. https://doi.org/10.3846/13926292.2014.909896
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