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On the Pohozaev identity for the fractional p‐Laplacian operator in RN
Vincenzo Ambrosio
Source abstract
Abstract In this paper, we show the existence of a nontrivial weak solution for a nonlinear problem involving the fractional ‐Laplacian operator and a Berestycki–Lions type nonlinearity. This solution satisfies a Pohozaev identity. Moreover, we prove that any sufficiently smooth solution fulfills the Pohozaev identity.
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