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Global and blow-up solutions to a p-Laplacian equation with nonlocal source

โœ Scribed by Fu-Cai Li; Chun-Hong Xie

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
493 KB
Volume
46
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

This paper deals with a pLaplacian equation ut -div((Vulp-2Vu) = Jn zcq(z, t) dn: with null Dirichlet boundary conditions in a bounded domain R c RN, where p > 2, Q 2 1. Under appropriate hypotheses, we establish local theory of the solution and obtain that the solution either exists globally or blows up in finite time.

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