Fractional eigenvalue problems that approximate Steklov eigenvalue problems

被引：8

作者：

Del Pezzo, Leandro M. ^{[1
,2
,3
]}

Rossi, Julio D.

Salort, Ariel M.

机构：

[1] Univ Buenos Aires, Dept Matemat, Fac Ciencias Exactas & Nat, Ciudad Univ,Pabellon 1,Av Cantilo S-N, RA-1428 Buenos Aires, DF, Argentina

[2] Univ Torcuato Di Tella, CONICET, Av Figueroa Alcorta 7350 C1428BCW, Buenos Aires, DF, Argentina

[3] Univ Torcuato Di Tella, Dept Matemat & Estat, Av Figueroa Alcorta 7350 C1428BCW, Buenos Aires, DF, Argentina

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2018年 / 148卷 / 03期

关键词：

Steklov eigenvalues; nonlocal problems; Sobolev inequalities;

D O I：

10.1017/S0308210517000361

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we analyse possible extensions of the classical Steklov eigenvalue problem to the fractional setting. In particular, we find a non-local eigenvalue problem of fractional type that approximates, when taking a suitable limit, the classical Steklov eigenvalue problem.

引用

页码：499 / 516

页数：18

共 50 条

[1] Eigenvalue bounds of mixed Steklov problems
Hassannezhad, Asma
Laptev, Ari
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2020, 22 (02)
[2] Eigenvalue and eigenvector approximate analysis for repeated eigenvalue problems
Hou, Gene J.W., 1600, (30):
[3] EIGENVALUE AND EIGENVECTOR APPROXIMATE ANALYSIS FOR REPEATED EIGENVALUE PROBLEMS
HOU, GJW
KENNY, SP
AIAA JOURNAL, 1992, 30 (09) : 2317 - 2324
[4] Fractional eigenvalue problems on RN
Grecu, Andrei
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2020, (26) : 1 - 17
[5] PERTURBED FRACTIONAL EIGENVALUE PROBLEMS
Farcaseanu, Maria
Mihailescu, Mihai
Stancu-Dumitru, Denisa
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2017, 37 (12) : 6243 - 6255
[6] Approximate methods for stochastic eigenvalue problems
Hakula, H.
Kaarnioja, V.
Laaksonen, M.
APPLIED MATHEMATICS AND COMPUTATION, 2015, 267 : 664 - 681
[7] On Different Quasimodes for the Homogenization of Steklov-Type Eigenvalue Problems
Lobo, M.
Perez, M. E.
INTEGRAL METHODS IN SCIENCE AND ENGINEERING, VOL 1: ANALYTIC METHODS, 2010, : 193 - 204
[8] On the Spectra of Three Steklov Eigenvalue Problems on Warped Product Manifolds
Xiong, Changwei
JOURNAL OF GEOMETRIC ANALYSIS, 2022, 32 (05)
[9] Isoperimetric Upper Bound for the First Eigenvalue of Discrete Steklov Problems
Hélène Perrin
The Journal of Geometric Analysis, 2021, 31 : 8144 - 8155
[10] A posteriori error estimates for nonconforming approximations of Steklov eigenvalue problems
Dello Russo, Anahi
Alonso, Ana E.
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (11) : 4100 - 4117

← 1 2 3 4 5 →