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arXiv · 1701.00183

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

Lorenzo Brasco·Sunra Mosconi·Marco Squassina
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Abstract

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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Lorenzo Brasco, Sunra Mosconi, Marco Squassina. 2017-01-01. Pohozaev identity for the fractional $p-$Laplacian on $\mathbb{R}^N$. https://arxiv.org/abs/1701.00183

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