On the -Biharmonic Operator with Critical Sobolev Exponent and Nonlinear Steklov Boundary Condition

Abdelouahed El Khalil, My Driss Morchid Alaoui and Abdelfattah Touzani

International Journal of Analysis, 2014, vol. 2014, 1-8

Abstract:

We show that this operator possesses at least one nondecreasing sequence of positive eigenvalues. A direct characterization of the principal eigenvalue (the first one) is given that we apply to study the spectrum of the -biharmonic operator with a critical Sobolev exponent and the nonlinear Steklov boundary conditions using variational arguments and trace critical Sobolev embedding.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:ijanal:498386

DOI: 10.1155/2014/498386

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