A bound for the eigenvalue counting function for Krein-von Neumann and Friedrichs extensions

DOI10.1016/j.aim.2016.09.011zbMath1362.35197arXiv1605.01170OpenAlexW2963901717MaRDI QIDQ329523

Marius Mitrea, Selim Sukhtaiev, Mark S. Ashbaugh, A. A. Laptev, Friedrich Gesztesy

Publication date: 21 October 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.01170

zbMATH Keywords

spectral analysisbounds on eigenvalue counting functionsbuckling problemKrein and Friedrichs extensionspowers of second-order uniformly elliptic partial differential operators

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Boundary value problems for higher-order elliptic equations (35J40) General topics in linear spectral theory for PDEs (35P05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Estimates of eigenvalues in context of PDEs (35P15) Spectrum, resolvent (47A10) General theory of partial differential operators (47F05)

Related Items (4)

The Krein–von Neumann extension revisited ⋮ Operators on anti‐dual pairs: Generalized Krein–von Neumann extension ⋮ Friedrichs extensions of a class of singular Hamiltonian systems ⋮ Relativistic Lippmann–Schwinger equation as an integral equation

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