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

Najib Tsouli, Omar Chakrone, Mostafa Rahmani, Omar Darhouche

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.

Keywords


variational methods, eigenvalues, biharmonic operator, unique continuation.

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DOI: http://dx.doi.org/10.5269/bspm.v30i2.14502





ISSN 0037-8712 (print) and ISSN 2175-1188 (on-line)

 

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