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Entire bounded solutions for a class of sublinear elliptic equations

✍ Scribed by Khalifa El Mabrouk

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
266 KB
Volume
58
Category
Article
ISSN
0362-546X

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✦ Synopsis

Let

be an arbitrary domain of R N and let be a nonnegative locally bounded Borel function on . In this paper, necessary and su cient conditions are obtained for the existence of a nonnegative nontrivial bounded solution to the sublinear elliptic equation u = (x)u in where 0 Β‘ 6 1. The special case of a radial function is discussed in detail.

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