A nonlocal 1-Laplacian problem and median values
نویسندگان
چکیده
منابع مشابه
A Nonlocal 1-laplacian Problem and Median Values
In this paper, we study solutions to a nonlocal 1-Laplacian equation given by − ∫ ΩJ J(x− y) uψ(y)− u(x) |uψ(y)− u(x)| dy = 0 for x ∈ Ω, with u(x) = ψ(x) for x ∈ ΩJ \ Ω. We introduce two notions of solution and prove that the weaker of the two concepts is equivalent to a nonlocal median value property, where the median is determined by a measure related to J . We also show that solutions in the...
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and Applied Analysis 3 Define the operator A : P → E by
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ژورنال
عنوان ژورنال: Publicacions Matemàtiques
سال: 2016
ISSN: 0214-1493
DOI: 10.5565/publmat_60116_02