کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8898816 1631500 2018 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Eigenvalues of the Wentzell-Laplace operator and of the fourth order Steklov problems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Eigenvalues of the Wentzell-Laplace operator and of the fourth order Steklov problems
چکیده انگلیسی
We prove a sharp upper bound and a lower bound for the first nonzero eigenvalue of the Wentzell-Laplace operator on compact manifolds with boundary and an isoperimetric inequality for the same eigenvalue in the case where the manifold is a bounded domain in a Euclidean space. We study some fourth order Steklov problems and obtain isoperimetric upper bound for the first eigenvalue of them. We also find all the eigenvalues and eigenfunctions for two kind of fourth order Steklov problems on a Euclidean ball.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 264, Issue 10, 15 May 2018, Pages 6486-6506
نویسندگان
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