![](/images/graphics-bg.png)
Extinction and Positivity of the Solutions for a p-Laplacian Equation with Absorption on Graphs
Joint Authors
Xin, Qiao
Mu, Chunlai
Liu, Dengming
Source
Journal of Applied Mathematics
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-09-19
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We deal with the extinction of the solutions of the initial-boundary value problem of the discrete p-Laplacian equation with absorption ut=Δp,ωu−uq with p > 1, q > 0, which is said to be the discrete p-Laplacian equation on weighted graphs.
For 0 < q < 1, we show that the nontrivial solution becomes extinction in finite time while it remains strictly positive for p≥2, q≥1 and q≥p−1.
Finally, a numerical experiment on a simple graph with standard weight is given.
American Psychological Association (APA)
Xin, Qiao& Mu, Chunlai& Liu, Dengming. 2011. Extinction and Positivity of the Solutions for a p-Laplacian Equation with Absorption on Graphs. Journal of Applied Mathematics،Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-509628
Modern Language Association (MLA)
Xin, Qiao…[et al.]. Extinction and Positivity of the Solutions for a p-Laplacian Equation with Absorption on Graphs. Journal of Applied Mathematics No. 2011 (2011), pp.1-12.
https://search.emarefa.net/detail/BIM-509628
American Medical Association (AMA)
Xin, Qiao& Mu, Chunlai& Liu, Dengming. Extinction and Positivity of the Solutions for a p-Laplacian Equation with Absorption on Graphs. Journal of Applied Mathematics. 2011. Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-509628
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-509628