Some remarks on rearrangement for nonlocal functionals

We prove that a nonlocal functional approximating the standard Dirichlet p-norm fails to decrease under two-point rearrangement. Furthermore, we get other properties related to this functional such as decay and compactness.


Published in:
Nonlinear Analysis-Theory Methods & Applications, 162, 1-12
Year:
2017
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 Record created 2017-05-30, last modified 2018-03-17

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