Some Uniqueness Results for Bernoulli Interior Free-boundary Problems in Convex Domains

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dc.contributor.authorCardaliaguet, Pierre
dc.contributor.authorTahraoui, Rabah
dc.date.accessioned2020-09-10T18:14:11Z
dc.date.available2020-09-10T18:14:11Z
dc.date.issued2002-12-10
dc.description.abstractWe establish the existence of a elliptic family of convex solutions for Bernoulli interior free-boundary problems in bounded convex domains. We also proved that there is a unique solution to the problem associated with the so-called Bernoulli constant, and give an estimate from above for this constant.
dc.description.departmentMathematics
dc.formatText
dc.format.extent16 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationCardaliaguet, P., & Tahraoui, R. (2002). Some uniqueness results for Bernoulli interior free-boundary problems in convex domains. <i>Electronic Journal of Differential Equations, 2002</i>(102), pp. 1-16.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/12566
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2002, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectBernoulli free-boundary problem
dc.subjectConvex solutions
dc.subjectBorell's inequality
dc.titleSome Uniqueness Results for Bernoulli Interior Free-boundary Problems in Convex Domains
dc.typeArticle

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