کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
844620 908603 2007 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The Neumann problem for the ∞∞-Laplacian and the Monge–Kantorovich mass transfer problem
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
The Neumann problem for the ∞∞-Laplacian and the Monge–Kantorovich mass transfer problem
چکیده انگلیسی

We consider the natural Neumann boundary condition for the ∞∞-Laplacian. We study the limit as p→∞p→∞ of solutions of −Δpup=0−Δpup=0 in a domain ΩΩ with |Dup|p−2∂up/∂ν=g|Dup|p−2∂up/∂ν=g on ∂Ω∂Ω. We obtain a natural minimization problem that is verified by a limit point of {up}{up} and a limit problem that is satisfied in the viscosity sense. It turns out that the limit variational problem is related to the Monge–Kantorovich mass transfer problems when the measures are supported on ∂Ω∂Ω.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 66, Issue 2, 15 January 2007, Pages 349–366
نویسندگان
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