On estimates for the number of negative eigenvalues of two-dimensional Schrödinger operators with potentials supported by Lipschitz curves

DOI10.1016/j.jmaa.2017.07.060OpenAlexW2743476958MaRDI QIDQ1746289

Martin Karuhanga

Publication date: 24 April 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.07.060

zbMATH Keywords

Schrödinger operatorsLipschitz curvesnegative eigenvalues

Mathematics Subject Classification ID

Operator theory (47-XX) Partial differential equations (35-XX)

Related Items (3)

Weyl's laws and Connes' integration formulas for matrix-valued \(L\!\log \!L\)-Orlicz potentials ⋮ Eigenvalue bounds for a class of Schrödinger operators in a strip ⋮ On negative eigenvalues of two-dimensional Schrödinger operators with singular potentials

Cites Work

• On spectral estimates for two-dimensional Schrödinger operators
• The analysis and geometry of Hardy's inequality
• Piecewise-polynomial approximation of functions from \(H^ \ell((0,1)^ d)\), \(2\ell=d\), and applications to the spectral theory of the Schrödinger operator
• Schrödinger operators with singular interactions
• Negative eigenvalues of two-dimensional Schrödinger operators
• An estimate for the Morse index of a Stokes wave
• L₂-Theory of the Maxwell operator in arbitrary domains
• Hardy spaces, $A_\infty$, and singular integrals on chord-arc domains
• [https://portal.mardi4nfdi.de/wiki/Publication:4893803 The negative discrete spectrum of a two-dimensional Schr�dinger operator]
• On negative eigenvalues of two‐dimensional Schrödinger operators
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