### Blow up of solutions to semilinear wave equations.

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We study the nonexistence result of radial solutions to -Δu + c u/(|x|) + |x||u|u ≤ 0 posed in B or in B {0} where B is the unit ball centered at the origin in R, N ≥ 3. Moreover, we give a complete classification of radial solutions to the problem -Δu + c u/(|x|) + |x||u|u = 0. In particular we prove that the latter has exactly one family of radial solutions.

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