Sums of magnetic eigenvalues are maximal on rotationally symmetric domains

DOI10.1007/s00023-011-0142-zzbMath1242.81082arXiv1104.1272OpenAlexW3098973915MaRDI QIDQ425117

Jian Liang, Arindam Roy, Richard Snyder Laugesen

Publication date: 7 June 2012

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.1272

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (5)

Estimates for the lowest eigenvalue of magnetic Laplacians ⋮ Isoperimetric inequalities for the magnetic Neumann and Steklov problems with Aharonov-Bohm magnetic potential ⋮ Geometric bounds for the magnetic Neumann eigenvalues in the plane ⋮ From Steklov to Neumann and Beyond, via Robin: The Szegő Way ⋮ Magnetic spectral bounds on starlike plane domains

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