Lyapunov-type inequalities for fractional partial differential equations

被引：34
作者：
Jleli, Mohamed [1 ]
Kirane, Mokhtar [2 ,3 ]
Samet, Bessem [1 ]
机构：
[1] King Saud Univ, Dept Math, Coll Sci, POB 2455, Riyadh 11451, Saudi Arabia
[2] Univ La Rochelle, Lab LaSIE, Pole Sci & Technol, Ave M Crepeau, F-17042 La Rochelle, France
[3] King Abdulaziz Univ, Dept Math, NAAM Res Grp, Nonlinear Anal & Appl Math,Fac Sci, POB 80203, Jeddah 21589, Saudi Arabia
来源：
APPLIED MATHEMATICS LETTERS | 2017年 / 66卷
关键词：
Fractional Sobolev spaces; Fractional p-Laplacian; Lyapunov inequality; Eigenyalues;
D O I：
10.1016/j.aml.2016.10.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present Lyapunov inequalities for the fractional p-Laplacian (-Delta(p))(S), 1 < p < infinity, s is an element of (0,1), in an open bounded set Omega subset of R-N, under homogeneous Dirichlet boundary conditions. We discuss two cases, the case sp > N and the case sp < N. We use the obtained inequalities to provide lower bounds for the first eigenvalue of the fractional p-Laplacian. To the best of our knowledge, this is the first work dealing with Lyapunov-type inequalities for fractional partial differential equations. (C) 2016 Elsevier Ltd. All rights reserved.
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页码：30 / 39
页数：10
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