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The paper deals with positive radial solutions to a nonlinear ellipticequation with singular and decaying potential, for which several existence andnonexistence results are known, resting upon suitable compatibility conditionsbetween the decaying rate of the potential and the growth rate of thenonlinearity. The problem of the existence is still open for essentially threecases and we give a negative answer to one of such cases.

A nonexistence result for a nonlinear elliptic equation with singular and decaying potential