Existence of solutions for the one-phase and the multi-layer free-boundary problems with the p-laplacian operator

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dc.contributor.authorLy, Idrissa
dc.contributor.authorSeck, Diaraf
dc.date.accessioned2021-07-20T19:53:05Z
dc.date.available2021-07-20T19:53:05Z
dc.date.issued2006-10-11
dc.description.abstractBy considering the p-laplacian operator, we show the existence of a solution to the exterior (resp interior) free boundary problem with non constant Bernoulli free boundary condition. In the second part of this article, we study the existence of solutions to the two-layer shape optimization problem. From a monotonicity result, we show the existence of classical solutions to the two-layer Bernoulli free-boundary problem with nonlinear joining conditions. Also we extend the existence result to the multi-layer case.
dc.description.departmentMathematics
dc.formatText
dc.format.extent23 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationLy, I., & Seck, D. (2006). Existence of solutions for the one-phase and the multi-layer free-boundary problems with the p-laplacian operator. Electronic Journal of Differential Equations, 2006(128), pp. 1-23.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14001
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectBernoulli free boundary problem
dc.subjectStarshaped domain
dc.subjectShape optimization
dc.subjectShape derivative
dc.subjectMonotonicity
dc.titleExistence of solutions for the one-phase and the multi-layer free-boundary problems with the p-laplacian operatoren_US
dc.typeArticle

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