Strict Monotonicity and Unique Continuation for the Third-Order Spectrum of Biharmonic Operator

Khalil Ben Haddouch, Zakaria El Allali, El Bekkaye Mermri and Najib Tsouli

Abstract and Applied Analysis, 2012, vol. 2012, 1-9

Abstract:

We will study the spectrum for the biharmonic operator involving the laplacian and the gradient of the laplacian with weight, which we call third-order spectrum. We will show that the strict monotonicity of the eigenvalues of the operator , where , holds if some unique continuation property is satisfied by the corresponding eigenfunctions.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:571951

DOI: 10.1155/2012/571951

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