Weyl's type estimates on the eigenvalues of critical Schrödinger operators

DOI10.1007/S11005-007-0218-3zbMath1162.35057OpenAlexW2162634685MaRDI QIDQ1013604

Nikos I. Karachalios

Publication date: 20 April 2009

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11005-007-0218-3

zbMATH Keywords

Schrödinger operatorcritical potentialgeneralized Sobolev spacesimproved Hardy inequalities

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Estimates of eigenvalues in context of PDEs (35P15) Schrödinger operator, Schrödinger equation (35J10) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (5)

The semiflow of a reaction diffusion equation with a singular potential ⋮ A strongly singular parabolic problem on an unbounded domain ⋮ On the dynamics of a strongly singular parabolic equation ⋮ On the weighted Dirichlet eigenvalues of Hardy operators involving critical gradient terms ⋮ Some Results Concerning Hardy and Hardy Type Inequalities

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