Lyapunov-type inequalities for a fractional p-Laplacian system-Reference-Cited by-同舟云学术

Lyapunov-type inequalities for a fractional p-Laplacian system

Published:2017-12-01 Issue:6 Volume:20 Page:1485-1506
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Jleli Mohamed¹,Kirane Mokhtar²³⁴,Samet Bessem¹

Affiliation:

1. Department of Mathematics College of Science , King Saud University P.O. Box 2455 , Riyadh 11451 , Saudi Arabia

2. LaSIE , Pôle Sciences et Technologies, Université de La Rochelle Avenue M. Crépeau , 17042 La Rochelle , France

3. NAAM Research Group , Department of Mathematics , Faculty of Science King Abdulaziz University , P.O. Box 80203 Jeddah 21589 , Saudi Arabia

4. RUDN University , 6 Miklukho-Maklay St , Moscow 117198 , Russia

Abstract

Abstract In this paper, we establish Lyapunov-type inequalities for a fractional p-Laplacian system in an open bounded subset Ω⊂ℝ N RN under Dirichlet boundary conditions. As an application of the obtained inequalities, we establish some geometric properties of the generalized spectrum associated to the considered system. MSC 2010 : Primary 35R11; Secondary , 35P15,

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2017-0078/pdf

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