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“…But this amounts to say that u j is the solution of the minimization problem [25], or [16] for a general context). In particular…”

confidence: 98%

“…But this amounts to say that u j is the solution of the minimization problem [25], or [16] for a general context). In particular…”

confidence: 98%

“…Hence, the following identity D(|G(u)| p−2 G(u)) = L p u := 2 Ω ′ ∪Γ |u(y) − u(x)| p−2 (u(y) − u(x))µ(x, y)dy was also shown in [21, (5.3)] for p = 2. The general case was proved in [22], that is…”

confidence: 98%

“…The following result is a version of similar Poincaré's inequalities which may be found in [2,5,32,29].…”

confidence: 80%

“…Finally, it is possible to provide a formula for integration by parts similarly to what was done in [3,32]. Note that, in contrast with the local theory, this nonlocal version does not contain any boundary term and thus the values on Γ could be nonzero without modifying the result.…”

confidence: 96%