Corpus ID: 237491585

Counterexample to the Laptev--Safronov conjecture

  title={Counterexample to the Laptev--Safronov conjecture},
  author={Sabine Bogli and Jean-Claude Cuenin},
We prove that the Laptev–Safronov conjecture (Comm. Math. Phys. 2009) is false in the range that is not covered by Frank’s positive result (Bull. Lond. Math. Soc. 2011). The simple counterexample is adaptable to a large class of Schrödinger type operators, for which we also prove new sharp upper bounds. 
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