| RESULTS ON POSITIVE SOLUTIONS OF ELLIPTIC EQUATIONS WITH A CRITICAL HARDY-SOBOLEV OPERATOR ∗ (2009) | |||||||||||||||
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| Dedicated to Neil Trudinger with respect and friendship on the occasion of his sixty fifth birthday Key words. Hardy-Sobolev operator, uniqueness, entire solutions. AMS subject classifications. 35J20, 35J65 1. Introduction. Let N ≥ 3, 1 ≤ k < N and R N = R k × R N−k. Write x = (y, z) ∈ R k × R N−k. We are concerned with classifying non-negative solutions of −∆u = u2 ∗ (t)−1 (x) |y | t, x ∈ R N, (1.1) | |||||||||||||||
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