Isoperimetric inequality for an interior free boundary problem with p-laplacian operator
dc.contributor.author | Ly, Idrissa | |
dc.contributor.author | Seck, Diaraf | |
dc.date.accessioned | 2021-05-03T20:44:42Z | |
dc.date.available | 2021-05-03T20:44:42Z | |
dc.date.issued | 2004-09-14 | |
dc.description.abstract | By considering the p-Laplacian operator, we establish an existence and regularity result for a shape optimization problem. From a monotony result, we show the existence of a solution to the interior problem with a free surface for a family of Bernoulli constants. We also give an optimal estimation for the upper bound of the Bernoulli constant. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 12 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Ly, I., & Seck, D. (2004). Isoperimetric inequality for an interior free boundary problem with p-laplacian operator. Electronic Journal of Differential Equations, 2004(109), pp. 1-12. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/13482 | |
dc.language.iso | en | |
dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2004, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
dc.subject | Bernoulli free boundary problem | |
dc.subject | Starshaped domain | |
dc.subject | Shape optimization | |
dc.subject | Shape derivative | |
dc.subject | Monotony | |
dc.title | Isoperimetric inequality for an interior free boundary problem with p-laplacian operator | en_US |
dc.type | Article |