Extinction and Non-Extinction of Solutions to a p-Laplace Equation with a Nonlocal Source and an Absorption Term

Mathematical Modelling and Analysis

Haixia Li¹  Yuzhu Han¹  Wenjie Gao¹ 

[1] Department of Mathematics, Jilin University 130012 Changchun, China;

关键词: p-Laplace equation;    super-solution and sub-solution;    extinction;   

DOI  :  10.3846/13926292.2014.909896

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown