Non-extinction of solutions to a fast diffusion system with nonlocal sources

In this short article, we give a positive answer to the problem proposed by Zheng et al [5], and show that the fast diffusion system $$\displaylines{ u_t=\hbox{div}(|\nabla u|^{p-2}\nabla u) +\int_\Omega v^\alpha\,dx, \cr v_t =\hbox{div}(|\nabla v|^{q-2}\nabla v) +\int_\Omega u^\beta\,dx }$$...

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Bibliographic Details
Main Authors: Haixia Li, Yuzhu Han
Format: Article
Language:English
Published: Texas State University 2016-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2016/45/abstr.html