schrödinger type operators
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Author(s):  
Idan Versano

We construct new optimal $L^{p}$ Hardy-type inequalities for elliptic Schrödinger-type operators with a potential term.


2021 ◽  
Vol 111 (2) ◽  
Author(s):  
Jean-Claude Cuenin ◽  
Konstantin Merz

AbstractWe improve results by Frank, Hainzl, Naboko, and Seiringer (J Geom Anal 17(4):559–567, 2007) and Hainzl and Seiringer (Math Nachr 283(3):489–499, 2010) on the weak coupling limit of eigenvalues for Schrödinger-type operators whose kinetic energy vanishes on a codimension one submanifold. The main technical innovation that allows us to go beyond the potentials considered in Frank, Hainzl, Naboko, and Seiringer (2007), Hainzl and Seiringer (2010) is the use of the Tomas–Stein theorem.


2021 ◽  
pp. 43-89
Author(s):  
Alexander Bendikov ◽  
Alexander Grigor’yan ◽  
Stanislav Molchanov

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