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