Abstract
This paper deals with positive solutions of the Cauchy problem for a parabolic p-Laplace equation with weighted nonlocal sources
where , , q, , , and . We classify global and non-global solutions of the Cauchy problem in the coexistence region by seeking a second critical exponent via the slow decay asymptotic behavior of an initial data at spatial infinity. Moreover, the large time behavior of global solution and the life span of non-global solution are derived.
Acknowledgements
The authors would like to deeply thank all the reviewers for their insightful and constructive comments.
Notes
No potential conflict of interest was reported by the authors.