Year: 2024
Type: article
Abstract: A symmetric variational eigenvalue problem in the Hilbert space with a cone is investigated. New sufficient conditions on the bilinear forms, the Hilbert space, and the cone of the variational problem guaranteeing the existence of a unique normalized positive eigenelement corresponding to a positive simple minimal eigenvalue are proposed and justified. The obtained abstract results are illustrated by the example of the generalized eigenvalue problem for the second order self-adjoint elliptic differential operator.
Source: Russian Mathematics
Author: P. S. Solov’ev
Institution: Kazan Federal University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4401789306