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Eigenvalue inequalities for Schrödinger operators on unbounded Lipschitz domains
Stockholm University, Faculty of Science, Department of Mathematics.ORCID iD: 0000-0003-1354-5387
2018 (English)In: Journal of Spectral Theory, ISSN 1664-039X, E-ISSN 1664-0403, Vol. 8, no 2, p. 493-508Article in journal (Refereed) Published
Abstract [en]

Given a Schrödinger differential expression on an exterior Lipschitz domain we prove strict inequalities between the eigenvalues of the corresponding selfadjoint operators subject toDirichlet andNeumann orDirichlet andmixed boundary conditions, respectively. Moreover, we prove a strict inequality between the eigenvalues of two different elliptic differential operators on the same domain with Dirichlet boundary conditions.

Place, publisher, year, edition, pages
2018. Vol. 8, no 2, p. 493-508
Keywords [en]
Eigenvalue inequality, Schrödinger operator, Dirichlet, Neumann and Robin boundary condition, unbounded Lipschitz domain, elliptic differential operator
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-164935DOI: 10.4171/JST/203OAI: oai:DiVA.org:su-164935DiVA, id: diva2:1280794
Available from: 2019-01-21 Created: 2019-01-21 Last updated: 2019-01-21Bibliographically approved

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