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A CRITICAL PHENOMENON FOR SUBLINEAR ELLIPTIC EQUATIONS IN CONE-LIKE DOMAINS
We study positive supersolutions to an elliptic equation ( * ) -∆u = c|x| -s u p , p, s ∈ R, in cone-like domains in R N (N ≥ 2).We prove that in the sublinear case p < 1 there exists a critical exponent p * < 1 such …