A bound for the eigenvalue counting function for higher-order Krein Laplacians on open sets

DOI10.1142/9789814618144_0001zbMath1339.35202arXiv1403.3731OpenAlexW2963090031MaRDI QIDQ2813551

Marius Mitrea, Selim Sukhtaiev, Friedrich Gesztesy, A. A. Laptev

Publication date: 24 June 2016

Published in: Mathematical Results in Quantum Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.3731

zbMATH Keywords

eigenvaluesspectral analysisWeyl asymptoticsbuckling problemKrein Laplacian

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Higher-order elliptic equations (35J30)

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