Generalized spectrum of Steklov-Robin problem for elliptic system

2014/11/17 by Alzaki Fadlallah, Fadlallah, Alzaki · 1 citation
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1411.4678

arXiv admin note: text overlap with arXiv:1410.7315

arxiv created 2014/11/17 · arxiv updated 2014/11/19

Abstract

We will study the generalized Steklov Robin eigensystem (with possibly matrices weights) in which the spectral parameter is both in the system and on the boundary. We prove the existence of of an increasing unbounded sequence of eigenvalues .The method of proof makes use of variational arguments.

Citations

• Linear second order elliptic partial differential equations with nonlinear boundary conditions at resonance without landesman-lazer conditions

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• Generalized eigenproblem and nonlinear elliptic system with nonlinear boundary conditions

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