On -Laplacian differential inclusions—Global existence, compactness properties and asymptotic behavior

✍ Scribed by Jacson Simsen; Cláudia B. Gentile

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 788 KB
• Volume: 71
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2009.02.044

✦ Synopsis

In this work we consider coupled systems of p-Laplacian differential inclusions. We obtain the global existence of solutions and good compactness properties in such way that the set of all possible solutions compose a generalized semiflow which has a global attractor for each pair of positive diffusion coefficients. We also prove that the attractors are upper semicontinuous on positive finite diffusion parameters.