
doi: 10.34657/2979
We establish Pohozaev identities and integration by parts type formulas for anisotropic integro-differential operators of order 2s, with s ϵ (0, 1). These identities involve local boundary terms, in which the quantity u/ds ∂Ω plays the role that ∂u/∂v plays in the second order case. Here, u is any solution to Lu = f (x, u) in Ω, with u = 0 in Rn \ Ω , and d is the distance to ∂Ω.
ddc:510, 35A01, stable Lévy processes, Pohozaev identity -- stable Lévy processes -- nonlocal operator, 35R09, article, nonlocal operator., Pohozaev identity, 47G20, 510
ddc:510, 35A01, stable Lévy processes, Pohozaev identity -- stable Lévy processes -- nonlocal operator, 35R09, article, nonlocal operator., Pohozaev identity, 47G20, 510
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