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Asymptotic estimates and blow-up theory for critical equations involving thep-Laplacian

✍ Scribed by Nicolas Saintier

Publisher: Springer
Year: 2005
Tongue: English
Weight: 486 KB
Volume: 25
Category: Article
ISSN: 0944-2669
DOI: 10.1007/s00526-005-0344-7

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## Abstract We estimate the blow‐up time for the reaction diffusion equation __u__~__t__~=Δ__u__+ λ__f__(__u__), for the radial symmetric case, where __f__ is a positive, increasing and convex function growing fast enough at infinity. Here λ>λ^\*^, where λ^\*^ is the ‘extremal’ (critical) value for