On critical value of the coupling constant in exterior elliptic problems
We consider exterior elliptic problems with coefficients stabilizing at infinity and study the critical value $\beta_{cr}$ of the coupling constant (the coefficient at the potential) that separates operators with a discrete spectrum and those without it. The dependence of $\beta_{cr}$ on the boundar...
Gespeichert in:
Hauptverfasser: | , |
---|---|
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext bestellen |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
Zusammenfassung: | We consider exterior elliptic problems with coefficients stabilizing at
infinity and study the critical value $\beta_{cr}$ of the coupling constant
(the coefficient at the potential) that separates operators with a discrete
spectrum and those without it. The dependence of $\beta_{cr}$ on the boundary
condition and on the distance between the boundary and the support of the
potential is described. The discrete spectrum of a non-symmetric operator with
the FKW boundary condition (that appears in diffusion processes with traps) is
also investigated. |
---|---|
DOI: | 10.48550/arxiv.1812.10132 |