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Blow-up rate estimates for a parabolic system with multiple nonlinearities

✍ Scribed by Xiaowei An; Xianfa Song

Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 204 KB
Volume: 33
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1184

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## Abstract In this paper, some sufficient conditions under which the quasilinear elliptic system ‐div(∣∇__~u~__∣__^p‐2^__∇__~u~__) = __u____v__, ‐div(∣∇__~u~__∣__^q‐2^__∇__~u~__) = __u____v__ in ℝ^N^(__N__≥3) has no radially symmetric positive solution is derived. Then by using this non‐existence