Diamagnetism versus Robin condition and concentration of ground states

DOI10.3233/ASY-161372zbMath1348.35255arXiv1507.08016OpenAlexW2964003371MaRDI QIDQ2826330

Ayman Kachmar

Publication date: 14 October 2016

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.08016

zbMATH Keywords

semi-classical analysisRobin boundary conditionmagnetic Laplacian

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Electro- and magnetostatics (78A30) Statistical mechanics of magnetic materials (82D40)

Related Items (4)

Tunneling for the Robin Laplacian in smooth planar domains ⋮ Magnetic perturbations of the Robin Laplacian in the strong coupling limit ⋮ Sum of the negative eigenvalues for the semi-classical Robin Laplacian ⋮ Counterexample to strong diamagnetism for the magnetic Robin Laplacian

Cites Work

• On the essential spectrum of magnetic Schrödinger operators in exterior domains
• Asymptotic eigenvalue estimates for a Robin problem with a large parameter
• Mean curvature bounds and eigenvalues of Robin Laplacians
• Accurate eigenvalue asymptotics for the magnetic Neumann Laplacian
• Estimates of the upper critical field for the Ginzburg-Landau equations of superconductivity
• On the ground state energy for a magnetic Schrödinger operator and the effect of the de Gennes boundary condition
• Tunneling between corners for Robin Laplacians
• On the principal eigenvalue of a Robin problem with a large parameter
• Bounds for the Discrete Part of the Spectrum of a Semi-Bounded Schrödinger Operator.
• Magnetic bottles in connection with superconductivity
• Unnamed Item
• Unnamed Item

This page was built for publication: Diamagnetism versus Robin condition and concentration of ground states