Asymptotics of the spectrum of variational problems on solutions of elliptic equations in unbounded domains

DOI10.1007/BF01078302zbMath0463.35061MaRDI QIDQ1153498

Michael Solomyak, Mikhail Sh. Birman

Publication date: 1981

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

unbounded domainselliptic equationsvariational problemsasymptotics of the spectrum

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) General theory of partial differential operators (47F05) Variational methods for second-order elliptic equations (35J20) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Related Items (10)

Spectral enclosures for non-self-adjoint extensions of symmetric operators ⋮ Threshold singularities of the spectral shift function for geometric perturbations of magnetic Hamiltonians ⋮ FUNCTIONAL MODEL FOR BOUNDARY‐VALUE PROBLEMS ⋮ Schrödinger operators with \(\delta\) and \(\delta^{\prime}\)-potentials supported on hypersurfaces ⋮ Kreĭn-like extensions and the lower boundedness problem for elliptic operators ⋮ Spectral theory of elliptic operators in exterior domains ⋮ On the mathematical work of Mikhail Zakharovich Solomyak ⋮ The mixed boundary value problem, Krein resolvent formulas and spectral asymptotic estimates ⋮ Spectral asymptotics for Robin problems with a discontinuous coefficient ⋮ A remark on Schatten-von Neumann properties of resolvent differences of generalized Robin Laplacians on bounded domains

Cites Work

• Asymptotics of the spectrum of variational problems on solutions of elliptic equations

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