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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Applied Mathematics > Vol.6 No.2, February 2015

Generalized Spectrum of Steklov-Robin Type Problem for Elliptic Systems ()

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

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

DOI: 10.4236/am.2015.62039 PDF HTML XML 3,267 Downloads 3,848 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.

Keywords

Steklov-Robin, Variational Arguments, Matrix Weights

Share and Cite:

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.

Conflicts of Interest

The authors declare no conflicts of interest.

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