arXiv Open Access 2017

Inequalities for the lowest magnetic Neumann eigenvalue

Soeren Fournais Bernard Helffer

Lihat Sumber

Abstrak

We study the ground state energy of the Neumann magnetic Laplacian on planar domains. For a constant magnetic field we consider the question whether, under an assumption of fixed area, the disc maximizes this eigenvalue. More generally, we discuss old and new bounds obtained on this problem.

Topik & Kata Kunci

math.SP

Penulis (2)

Soeren Fournais

Bernard Helffer

Format Sitasi

APA MLA BibTeX

Fournais, S., Helffer, B. (2017). Inequalities for the lowest magnetic Neumann eigenvalue. https://arxiv.org/abs/1706.01950

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2017
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓