scholarly journals An estimate of the first eigenvalue of a Schrödinger operator on closed surfaces

2017 ◽  
Vol 146 (4) ◽  
pp. 1599-1602 ◽  
Author(s):  
Teng Fei ◽  
Zhijie Huang
Keyword(s):  
Schrödinger Operator ◽  
First Eigenvalue ◽  
Schrodinger Operator ◽  
The First Eigenvalue ◽  
Closed Surfaces

scholarly journals Spectral characterization and Schrödinger operator of space-like submanifolds

2015 ◽  
Vol 23 (2) ◽  
pp. 241-257
Author(s):  
Shichang Shu ◽  
Tianmin Zhu
Keyword(s):  
Schrödinger Operator ◽  
Schrödinger Operators ◽  
Spectral Characterization ◽  
Schrodinger Operators ◽  
First Eigenvalue ◽  
Schrodinger Operator ◽  
De Sitter ◽  
Totally Umbilical ◽  
The First Eigenvalue ◽  
Spectral Characterizations

Abstract In this paper, we would like to study space-like submanifolds in a de Sitter spaces Spn+p(1). We define and discuss three Schrödinger operators LH, LR, LR/H and obtain some spectral characterizations of totally umbilical space-like submanifolds in terms of the first eigenvalue of the Schrödinger operators LH, LR and LR/H respectively.

The first eigenvalue for a quasilinear Schrödinger operator and its application

2017 ◽  
Vol 97 (4) ◽  
pp. 499-512 ◽  
Author(s):  
Olimpio Hiroshi Miyagaki ◽  
Sandra Imaculada Moreira ◽  
Ricardo Ruviaro
Keyword(s):  
Schrödinger Operator ◽  
First Eigenvalue ◽  
Schrodinger Operator ◽  
The First Eigenvalue

scholarly journals On the two-dimensional Schrödinger operator with an attractive potential of the Bessel-Macdonald type

2020 ◽  
pp. 168385
Author(s):  
Wellisson B. De Lima ◽  
Oswaldo M. Del Cima ◽  
Daniel H.T. Franco ◽  
Bruno C. Neves
Keyword(s):  
Schrödinger Operator ◽  
Attractive Potential ◽  
Two Dimensional ◽  
Schrodinger Operator
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