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Blow-Up Estimates for a Non-Newtonian Filtration System

✍ Scribed by Zuo-dong Yang; Qi-shao Lu

Book ID
110338145
Publisher
Springer
Year
2001
Tongue
English
Weight
710 KB
Volume
22
Category
Article
ISSN
0253-4827

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This work deals with a semilinear parabolic system which is coupled both in the equations and in the boundary conditions. The blow-up phenomena of its positive solutions are studied using the scaling method, the Green function and Schauder estimates. The upper and lower bounds of blow-up rates are t

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