<b>Strict monotonicity and unique continuation of the biharmonic operator</b> - doi: 10.5269/bspm.v30i2.14502

Najib Tsouli; Omar Chakrone; Mostafa Rahmani; Omar Darhouche

doi:10.5269/bspm.v30i2.14502

<b>Strict monotonicity and unique continuation of the biharmonic operator</b> - doi: 10.5269/bspm.v30i2.14502

Najib Tsouli Université Mohamed I, Faculté des Sciences
Omar Chakrone Université Mohamed I, Faculté des Sciences,
Mostafa Rahmani Université Mohamed I, Faculté des Sciences,
Omar Darhouche Université Mohamed I, Faculté des Sciences,

DOI: https://doi.org/10.5269/bspm.v30i2.14502

Keywords: variational methods, eigenvalues, biharmonic operator, unique continuation.

Abstract

In this paper, we will show that the strict monotonicity of the eigenvalues of the biharmonic operator holds if and only if some unique continuation property is satisfied by the corresponding eigenfunctions.

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Issue

Vol 30 No 2 (2012)

Section

Research Articles

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