Addendum to “Criticality theory for Schrödinger operators with singular potential” [J. Differ. Equ. 265 (2018) 3400–3440]
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2020.05.031
Abstract: Abstract We show that the cone of non-negative distributional supersolutions is one dimensional for an operator − Δ + V with a locally integrable potential V satisfying property (1.1) below. As a consequence, we obtain… read more here.
Keywords: criticality theory; theory schr; operators singular; dinger operators ... See more keywords
Two-dimensional Dirac operators with singular interactions supported on closed curves
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2020.108700
Abstract: Abstract We study the two-dimensional Dirac operator with a class of interface conditions along a smooth closed curve, which model the so-called electrostatic and Lorentz scalar interactions of constant strengths, and we provide a rigorous… read more here.
Keywords: operators singular; singular interactions; dimensional dirac; dirac operators ... See more keywords