Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4617977 | Journal of Mathematical Analysis and Applications | 2011 | 11 Pages |
Abstract
In this paper, we investigate the behavior of the positive solution of the following Cauchy problemut−div(|∇um|p−2∇um)=uqut−div(|∇um|p−2∇um)=uq with initial value decaying at infinity, and give a new secondary critical exponent for the existence of global and nonglobal solutions. Furthermore, the large time behavior and the life span of solutions are also studied.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Chunlai Mu, Rong Zeng, Shouming Zhou,