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A Riccatian approach to the decay of solutions of certain semi-linear PDE’s

✍ Scribed by Ravi P. Agarwal; Octavian G. Mustafa

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
183 KB
Volume
20
Category
Article
ISSN
0893-9659

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✦ Synopsis

We use a simple and effective Hille-type technique to establish that the n-th-dimensional elliptic equation ∆u + f (x, u) + g(|x|)x • ∇u = 0, |x| > A > 0, with n ≥ 3, has positive solutions which decay to 0 as |x| → +∞.

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