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Generalized Spectrum of Steklov-Robin Type Problem for Elliptic Systems

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DOI: 10.4236/am.2015.62039    3,158 Downloads   3,725 Views  

ABSTRACT

We will study the generalized Steklov-Robin eigenproblem (with possibly matrix weights) in which the spectral parameter is both in the system and on the boundary. The weights may be singular on subsets of positive measure. We prove the existence of an increasing unbounded sequence of eigenvalues. The method of proof makes use of variational arguments.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Fadlallah, A. , Antwi-Fordjour, K. and Nkashama, M. (2015) Generalized Spectrum of Steklov-Robin Type Problem for Elliptic Systems. Applied Mathematics, 6, 421-429. doi: 10.4236/am.2015.62039.

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