{"publication_status":"published","page":"283 - 292","date_created":"2018-12-11T11:59:16Z","doi":"10.1007/BF01254348","year":"1996","month":"04","day":"01","status":"public","issue":"3","quality_controlled":0,"date_updated":"2021-01-12T06:59:17Z","title":"Rayleigh-type isoperimetric inequality with a homogeneous magnetic field","publist_id":"4167","extern":1,"date_published":"1996-04-01T00:00:00Z","abstract":[{"text":"We prove that the two dimensional free magnetic Schrödinger operator, with a fixed constant magnetic field and Dirichlet boundary conditions on a planar domain with a given area, attains its smallest possible eigenvalue if the domain is a disk. We also give some rough bounds on the lowest magnetic eigenvalue of the disk.","lang":"eng"}],"author":[{"last_name":"Erdös","first_name":"László","orcid":"0000-0001-5366-9603","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","full_name":"László Erdös"}],"type":"journal_article","_id":"2725","intvolume":"         4","volume":4,"publication":"Calculus of Variations and Partial Differential Equations","publisher":"Springer","citation":{"chicago":"Erdös, László. “Rayleigh-Type Isoperimetric Inequality with a Homogeneous Magnetic Field.” <i>Calculus of Variations and Partial Differential Equations</i>. Springer, 1996. <a href=\"https://doi.org/10.1007/BF01254348\">https://doi.org/10.1007/BF01254348</a>.","mla":"Erdös, László. “Rayleigh-Type Isoperimetric Inequality with a Homogeneous Magnetic Field.” <i>Calculus of Variations and Partial Differential Equations</i>, vol. 4, no. 3, Springer, 1996, pp. 283–92, doi:<a href=\"https://doi.org/10.1007/BF01254348\">10.1007/BF01254348</a>.","apa":"Erdös, L. (1996). Rayleigh-type isoperimetric inequality with a homogeneous magnetic field. <i>Calculus of Variations and Partial Differential Equations</i>. Springer. <a href=\"https://doi.org/10.1007/BF01254348\">https://doi.org/10.1007/BF01254348</a>","short":"L. Erdös, Calculus of Variations and Partial Differential Equations 4 (1996) 283–292.","ieee":"L. Erdös, “Rayleigh-type isoperimetric inequality with a homogeneous magnetic field,” <i>Calculus of Variations and Partial Differential Equations</i>, vol. 4, no. 3. Springer, pp. 283–292, 1996.","ista":"Erdös L. 1996. Rayleigh-type isoperimetric inequality with a homogeneous magnetic field. Calculus of Variations and Partial Differential Equations. 4(3), 283–292.","ama":"Erdös L. Rayleigh-type isoperimetric inequality with a homogeneous magnetic field. <i>Calculus of Variations and Partial Differential Equations</i>. 1996;4(3):283-292. doi:<a href=\"https://doi.org/10.1007/BF01254348\">10.1007/BF01254348</a>"}}