Neumann conditions for the higher order $s$-fractional Laplacian $(-Delta)^su$ with $s>1$


Abstract in English

In this paper we study a variational Neumann problem for the higher order $s$-fractional Laplacian, with $s>1$. In the process, we introduce some non-local Neumann boundary conditions that appear in a natural way from a Gauss-like integration formula.

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