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

2017/01/01 by Lorenzo Brasco, Sunra Mosconi, Brasco, Lorenzo +3
Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Advanced Mathematical Modeling in Engineering #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.1701.00183

Abstract

By virtue of a suitable approximation argument, we prove a Pohozaev identity for nonlinear nonlocal problems on 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.

Citations

• The Pohozaev Identity for the Fractional Laplacian

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