Paper Info
Title
A Uniqueness Result For A Simple Superlinear Eigenvalue Problem
Abstract
We study the eigenvalue problem for a superlinear convolution operator in the special case of bilinear constitutive laws and establish the existence and uniqueness of a one-parameter family of nonlinear eigenfunctions under a topological shape constraint. Our proof uses a nonlinear change of scalar parameters and applies Krein-Rutman arguments to a linear substitute problem. We also present numerical simulations and discuss the asymptotics of two limiting cases.
Year
DOI
Venue
2021
10.1007/s00332-021-09683-8
JOURNAL OF NONLINEAR SCIENCE
Keywords
DocType
Volume
Nonlinear eigenvalue problems, Nonlocal coherent structures, Krein&#8211, Rutman theorems, Asymptotic analysis of nonlinear integral operators
Journal
31
Issue
ISSN
Citations 
2
0938-8974
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Herrmann Michael100.34
Karsten Matthies212.65