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 08(0,1). These identities involve local boundary terms, in which the quantity plays the role that 02u 15 02\u3bd plays in the second-order case. Here, u is any solution to Lu = f(x,u) in \u3a9, with u = 0 in \u211dn 16\u3a9, and d is the distance to 02\u3a9