{"intvolume":"         4","type":"journal_article","extern":1,"volume":4,"publist_id":"4167","date_updated":"2021-01-12T06:59:17Z","abstract":[{"lang":"eng","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."}],"publication_status":"published","issue":"3","publication":"Calculus of Variations and Partial Differential Equations","title":"Rayleigh-type isoperimetric inequality with a homogeneous magnetic field","quality_controlled":0,"author":[{"first_name":"László","full_name":"László Erdös","orcid":"0000-0001-5366-9603","last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87"}],"doi":"10.1007/BF01254348","_id":"2725","date_created":"2018-12-11T11:59:16Z","month":"04","citation":{"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>","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>.","ista":"Erdös L. 1996. Rayleigh-type isoperimetric inequality with a homogeneous magnetic field. Calculus of Variations and Partial Differential Equations. 4(3), 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.","short":"L. Erdös, Calculus of Variations and Partial Differential Equations 4 (1996) 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>","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>."},"date_published":"1996-04-01T00:00:00Z","day":"01","page":"283 - 292","publisher":"Springer","year":"1996","status":"public"}