On principal eigenvalues of biharmonic systems

Lingju Kong; Roger Nichols

doi:10.3934/cpaa.2020254

Article Contents

2021, Volume 20, Issue 1: 1-15. Doi: 10.3934/cpaa.2020254

This issue Previous Article Next Article A note on Riemann-Liouville fractional Sobolev spaces

On principal eigenvalues of biharmonic systems

Lingju Kong^, and
Roger Nichols

Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, USA

^* Corresponding author
^* Corresponding author

Received: June 2020

Revised: July 2020

Early access: October 2020

Published: January 2021

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Abstract

We prove the existence, positivity, simplicity, uniqueness up to nonnegative eigenfunctions, and isolation of the principle eigenvalue of a biharmonic system. We also provide the extension of our results to a related system.

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Mathematics Subject Classification: Primary:35P30, 35J48.

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