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

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  • Khalil Ben Haddouch
  • Zakaria El Allali
  • El Bekkaye Mermri
  • Najib Tsouli

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.

Suggested Citation

  • Khalil Ben Haddouch & Zakaria El Allali & El Bekkaye Mermri & Najib Tsouli, 2012. "Strict Monotonicity and Unique Continuation for the Third-Order Spectrum of Biharmonic Operator," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-9, November.
    • Handle: RePEc:hin:jnlaaa:571951
    DOI: 10.1155/2012/571951
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