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