TITLE:
Generalized Spectrum of Steklov-Robin Type Problem for Elliptic Systems
AUTHORS:
Alzaki Fadlallah, Kwadwo Antwi-Fordjour, Marius N. Nkashama
KEYWORDS:
Steklov-Robin, Variational Arguments, Matrix Weights
JOURNAL NAME:
Applied Mathematics,
Vol.6 No.2,
February
17,
2015
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.