Diamagnetism versus Robin condition and concentration of ground states

Author:

Kachmar Ayman1

Affiliation:

1. Department of Mathematics, Lebanese University, Hadath, Lebanon. E-mail: ayman.kashmar@gmail.com

Publisher

IOS Press

Subject

General Mathematics

Reference16 articles.

1. On the fundamental state energy for a Schrödinger operator with magnetic field in domains with corners;Bonnaillie;Asymptot. Anal.,2005

2. Asymptotic eigenvalue estimates for a Robin problem with a large parameter;Exner;Portugal. Math.,2014

3. Accurate eigenvalue asymptotics for Neumann magnetic Laplacians;Fournais;Ann. Inst. Fourier,2006

4. S. Fournais and B. Helffer, Spectral Methods in Surface Superconductivity, Progress in Nonlinear Differential Equations and Their Applications, Vol. 77, Birkhäuser, Boston, 2010.

5. Eigenvalue estimates and critical temperature in zero fields for enhanced surface superconductivity;Giorgi;Z. Angew. Math. Phys.,2006

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Magnetic perturbations of the Robin Laplacian in the strong coupling limit;Journal of Mathematical Physics;2023-04-01

2. Counterexample to Strong Diamagnetism for the Magnetic Robin Laplacian;Mathematical Physics, Analysis and Geometry;2020-07-05

3. Sum of the negative eigenvalues for the semi-classical Robin Laplacian;Revista Matemática Complutense;2019-12-21

4. Semiclassical Sobolev constants for the electro-magnetic Robin Laplacian;Journal of the Mathematical Society of Japan;2017-10-01

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