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A Lyapunov-Type Inequality for a Laplacian System on a Rectangular Domain with Zero Dirichlet Boundary Conditions
Journal article   Open access  Peer reviewed

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

Mohamed Jleli and Bessem Samet
Mathematics (Basel), Vol.7(9), p.850
01/09/2019
DOI: https://doi.org/10.3390/math7090850

Abstract

Mathematics Physical Sciences Science & Technology
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.
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https://doi.org/10.3390/math7090850View
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