An improved Hardy-Sobolev inequality in \(W^{1,p}\) and its application to Schrödinger operators

DOI10.1007/s00030-005-0009-4zbMath1089.35035OpenAlexW2000468170MaRDI QIDQ814412

Adimurthi, Maria J. Esteban

Publication date: 7 February 2006

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-005-0009-4

zbMATH Keywords

Hardy-like inequalities with optimal potential singularitiesspectrum of perturbed Schrödinger operators

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Inequalities for sums, series and integrals (26D15)

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