Eigenvalue inequalities for Schrödinger operators on unbounded Lipschitz domains

Jussi Behrndt; Jonathan Rohleder; Simon Stadler

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arXiv · 1511.07828

Eigenvalue inequalities for Schrödinger operators on unbounded Lipschitz domains

Jussi Behrndt·Jonathan Rohleder·Simon Stadler

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Abstract

Given a Schrödinger differential expression on an exterior Lipschitz domain we prove strict inequalities between the eigenvalues of the corresponding selfadjoint operators subject to Dirichlet and Neumann or Dirichlet and mixed 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.

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BibTeX RIS

Jussi Behrndt, Jonathan Rohleder, Simon Stadler. 2016-01-14. Eigenvalue inequalities for Schrödinger operators on unbounded Lipschitz domains. https://arxiv.org/abs/1511.07828

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