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Generalized Spectrum of Steklov-Robin Type Problem for Elliptic Systems

Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=54176#.VPAodyzQrzE Author(s) 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 ...