Extinction and Non-Extinction of Solutions to a p-Laplace Equation with a Nonlocal Source and an Absorption Term
Abstract
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.
Keywords:
p-Laplace equation, super-solution and sub-solution, extinctionHow to Cite
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Copyright (c) 2014 The Author(s). Published by Vilnius Gediminas Technical University.
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Copyright (c) 2014 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.