Local behavior and global existence of positive solutions of au(lambda) <=-triangle u <= u(lambda)
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We study the behavior near the origin of C2 positive solutions u(x) of au - u u in a punctured neighborhood of the origin in n (n > 2) where the constants and a satisfy nn-2 < < n+2/n-2 and 0 < a < 1. We also study the existence of C2 positive solutions of (*) in n. In both cases we show that changing a from one value in the open interval (0, 1) to another value in (0, 1) can have a dramatic effect. 2002 ditions scientifiques et mdicales Elsevier SAS.