کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8898716 1631496 2018 27 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Principal eigenvalue of mixed problem for the fractional Laplacian: Moving the boundary conditions
ترجمه فارسی عنوان
معادله اصلی اصلی مشکل مخلوط برای لاپلای کسر: حرکت شرایط مرزی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی
We analyze the behavior of the eigenvalues of the following nonlocal mixed problem{(−Δ)su=λ1(D)u in Ω,u=0 in D,Nsu=0 in N. Our goal is to construct different sequences of problems by modifying the configuration of the sets D and N, and to provide sufficient and necessary conditions on the size and the location of these sets in order to obtain sequences of eigenvalues that in the limit recover the eigenvalues of the Dirichlet or Neumann problem. We will see that the nonlocality plays a crucial role here, since the sets D and N can have infinite measure, a phenomenon that does not appear in the local case (see for example [6], [7], [8]).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 265, Issue 2, 15 July 2018, Pages 593-619
نویسندگان
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