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Pohozaev identities for anisotropic integrodifferential operators

Pohozaev identities for anisotropic integrodifferential operators

We find and prove new Pohozaev identities and integration by parts type formulas for anisotropic integrodifferential operators of order 2s, with s∈(0,1). These identities involve local boundary terms, in which the quantity plays the role that ∂u∕∂ν plays in the second-order case. Here, u is any solution to Lu = …