Asymptotics of the spectrum of a two-dimensional Hartree type operator near upper boundaries of spectral clusters. Asymptotic solutions located near a circle

DOI10.1007/s10958-017-3545-7zbMath1482.35148OpenAlexW2755085510MaRDI QIDQ1688476

A. V. Pereskokov

Publication date: 8 January 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-017-3545-7

zbMATH Keywords

small integral Hartree-type nonlinearity

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Second-order elliptic equations (35J15) Semilinear elliptic equations (35J61)

Related Items (3)

Semiclassical asymptotics of the spectrum of a two-dimensional Hartree type operator near boundaries of spectral clusters ⋮ Semiclassical asymptotic spectrum of the two-dimensional Hartree operator near a local maximum of the eigenvalues in a spectral cluster ⋮ Asymptotics of the spectrum of a two-dimensional Hartree-type operator with a Coulomb self-action potential near the lower boundaries of spectral clusters

Cites Work

• Unnamed Item
• Asymptotics of the Hartree operator spectrum near the upper boundaries of spectral clusters: asymptotic solutions localized near a circle
• Semiclassical asymptotic approximation of the two-dimensional Hartree operator spectrum near the upper boundaries of spectral clusters

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