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arxiv: 1701.00183 · v2 · pith:LCGVMF3Nnew · submitted 2017-01-01 · 🧮 math.AP

Pohozaev identity for the fractional p-Laplacian on mathbb{R}^N

classification 🧮 math.AP
keywords identityfractionallaplacianmathbbpohozaevapplicationapproximationargument
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By virtue of a suitable approximation argument, we prove a Pohozaev identity for nonlinear nonlocal problems on $\mathbb{R}^N$ involving the fractional $p-$Laplacian operator. Furthermore we provide an application of the identity to show that some relevant levels of the energy functional associated with the problem coincide.

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