Generalized Spectrum of Steklov-Robin Type Problem for Elliptic Systems

Alzaki Fadlallah; Kwadwo Antwi-Fordjour; Marius N. Nkashama

doi:10.4236/am.2015.62039

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AM> Vol.6 No.2, February 2015

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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

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Alzaki Fadlallah, Kwadwo Antwi-Fordjour, Marius N. Nkashama

Affiliation(s)

Department of Mathematics, University of Alabama at Birmingham, Birmingham, USA.

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.

KEYWORDS

Steklov-Robin, Variational Arguments, Matrix Weights

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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