For admissible weights, the paper establishes weighted multipolar Hardy inequalities with optimal constant ((N+k2-2)/2)^2 and derives existence versus instantaneous blow-up for Kolmogorov equations with multipolar inverse-square potentials.
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Weighted multipolar Hardy inequalities and evolution problems with Kolmogorov operators perturbed by singular potentials
For admissible weights, the paper establishes weighted multipolar Hardy inequalities with optimal constant ((N+k2-2)/2)^2 and derives existence versus instantaneous blow-up for Kolmogorov equations with multipolar inverse-square potentials.