Optimal magnetic Sobolev constants in the semiclassical limit

DOI10.1016/j.anihpc.2015.03.008zbMath1350.35006arXiv1411.5554OpenAlexW2018895075MaRDI QIDQ327752

Nicolas Raymond, Søren Fournais

Publication date: 19 October 2016

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.5554

zbMATH Keywords

Dirichlet conditionsbounded domainmagnetic wells

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) NLS equations (nonlinear Schrödinger equations) (35Q55) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (1)

Properties of ground states of nonlinear Schrödinger equations under a weak constant magnetic field

Cites Work

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