| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5774084 | Journal of Differential Equations | 2017 | 61 Pages |
Abstract
The key ingredients are a Lyapunov functional and an Adams type inequality. A Lyapunov functional of the above problems will be constructed and the constant (8Ï)2/Ï is deduced from the critical constant in the Adams type inequality. This result is regarded as a generalization of the well-known 8Ï problem in the Keller-Segel system to higher dimensions.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Kentarou Fujie, Takasi Senba,