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Bounds and decay results for some second-order semilinear elliptic problems

✍ Scribed by L. E. Payne; P. W. Schaefer; J. C. Song

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
153 KB
Volume
21
Category
Article
ISSN
0170-4214

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✦ Synopsis

Communicated by G. F. Roach

The asymptotic behaviour of solutions of certain semilinear elliptic Dirichlet boundary value problems defined on a semi-infinite cylinder is investigated by means of energy arguments and maximum principles. Various hypotheses are made on the form of the semilinear term, and in some cases it is found that the rate of decay of solutions is faster than the optimal decay rate for harmonic functions.

1998 B. G. Teubner Stuttgart-John Wiley & Sons, Ltd.

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