Lieb–Thirring inequalities on the half-line with critical exponent | Zendy

Tomas Ekholm | Zendy; Rupert L. Frank | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Lieb–Thirring inequalities on the half-line with critical exponent

Author(s) -

Tomas Ekholm,

Rupert L. Frank

Publication year - 2008

Publication title -

journal of the european mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.549

H-Index - 64

eISSN - 1435-9863

pISSN - 1435-9855

DOI - 10.4171/jems/128

Subject(s) - mathematics , exponent , critical exponent , line (geometry) , inequality , critical line , real line , pure mathematics , mathematical physics , mathematical analysis , combinatorics , geometry , condensed matter physics , physics , philosophy , linguistics , scaling

We consider a Schr\"odinger operator on the half-line with a Dirichletboundary condition at the origin and show that moments of its negativeeigenvalues can be estimated by the part of the potential that is larger thanthe critical Hardy weight. The estimate is valid for the critical value of themoment parameter.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research