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A note on a critical exponent problem with Neumann boundary conditions

✍ Scribed by Adimurthi; S.L. Yadava; M.C. Knaap

Book ID
107967492
Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
327 KB
Volume
18
Category
Article
ISSN
0362-546X

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✍ Bei Hu; Hong-Ming Yin πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 310 KB

In this paper we consider the heat equation u s ⌬ u in an unbounded domain t N Ε½ . ⍀;R with a partly Dirichlet condition u x, t s 0 and a partly Neumann condition u s u p on the boundary, where p ) 1 and is the exterior unit normal on the boundary. It is shown that for a sectorial domain in R 2 and