Hausdorff measure of critical sets of solutions to magnetic Schrödinger equations

DOI10.1007/S00526-010-0358-7zbMath1217.82122OpenAlexW1994259308MaRDI QIDQ532559

Dan Liu

Publication date: 5 May 2011

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-010-0358-7

zbMATH Keywords

Hausdorff measuresuperconductivitymagnetic Schrödinger equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Statistical mechanics of superconductors (82D55) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (1)

On the Betti numbers of level sets of solutions to elliptic equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the zero set of the wave function in superconductivity
• Nodal sets for ground states of Schrödinger operators with zero magnetic field in non simply connected domains
• Surface nucleation of superconductivity in 3-dimensions
• Nodal sets of solutions of equations involving magnetic Schrödinger operator in three dimensions
• Geometric measure of singular sets of elliptic equations
• Zeros of a complex Ginzburg–Landau order parameter with applications to superconductivity
• Singular sets of harmonic functions in R^2 and their complexifications in C^2

This page was built for publication: Hausdorff measure of critical sets of solutions to magnetic Schrödinger equations