A Lyapunov-Type Inequality for a Laplacian System on a Rectangular Domain with Zero Dirichlet Boundary Conditions

A Lyapunov-Type Inequality for a Laplacian System on a Rectangular Domain with Zero Dirichlet Boundary Conditions

We consider a coupled system of partial differential equations involving Laplacian operator, on a rectangular domain with zero Dirichlet boundary conditions. A Lyapunov-type inequality related to this problem is derived. This inequality provides a necessary condition for the existence of nontrivial...

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Bibliographic Details
Main Authors: Mohamed Jleli, Bessem Samet
Format: Article
Language:English
Published: MDPI AG 2019-09-01
Series:Mathematics
Subjects:
Lyapunov-type inequality
coupled system
Laplacian
rectangular domain
Online Access:https://www.mdpi.com/2227-7390/7/9/850
Description
Summary:We consider a coupled system of partial differential equations involving Laplacian operator, on a rectangular domain with zero Dirichlet boundary conditions. A Lyapunov-type inequality related to this problem is derived. This inequality provides a necessary condition for the existence of nontrivial positive solutions.
ISSN:2227-7390

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