On the set of eigenvalues of some PDEs with homogeneous Neumann boundary condition. (April 2015)

• Record Type: Journal Article
• Authors: Fărcăşeanu, Maria; Mihăilescu, Mihai; Stancu-Dumitru, Denisa
• Is Part Of: Nonlinear analysis. Volume 116(2015)
• Page Start: 19
• Page End: 25
• Publication Date: 2015-04
• Subjects: 35D30 -- 35J60 -- 35P30; Eigenvalue problem -- Homogeneous Neumann boundary condition -- Isolated eigenvalue -- Continuous family of eigenvalues; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2014.12.019
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We analyze an eigenvalue problem, involving a homogeneous Neumann boundary condition, in a smooth bounded domain. We show that the set of eigenvalues of the problem possesses a continuous family of eigenvalues plus exactly one more eigenvalue which is isolated. Our results complement those obtained in Mihăilescu (2011).