کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4619285 1631571 2009 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Characterisation of the weak lower semicontinuity for a type of nonlocal integral functional: The n-dimensional scalar case
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Characterisation of the weak lower semicontinuity for a type of nonlocal integral functional: The n-dimensional scalar case
چکیده انگلیسی

In this work we are going to prove the functional J defined byJ(u)=∫Ω×ΩW(∇u(x),∇u(y))dxdy, is weakly lower semicontinuous in W1,p(Ω)W1,p(Ω) if and only if W is separately convex. We assume that Ω   is an open set in RnRn and W is a real-valued continuous function fulfilling standard growth and coerciveness conditions. The key to state this equivalence is a variational result established in terms of Young measures.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 360, Issue 2, 15 December 2009, Pages 495–502
نویسندگان
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