Entire bounded solutions for a class of
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Khalifa El Mabrouk
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Article
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2004
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Elsevier Science
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English
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## 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 ยก 6 1. The special c