Symmetry Theorems via the Continuous Steiner Symmetrization

dc.contributor.authorRagoub, L.
dc.date.accessioned2020-01-07T14:41:03Z
dc.date.available2020-01-07T14:41:03Z
dc.date.issued2000-06-12
dc.description.abstractUsing a new approach due to F. Brock called the Steiner symmetrization, we show first that if u is a solution of an overdetermined problem in the divergence form satisfying the Neumann and non-constant Dirichlet boundary conditions, then Ω is an N-ball. In addition, we show that we can relax the condition on the value of the Dirichlet boundary condition in the case of superharmonicity. Finally, we give an application to positive solutions of some semilinear elliptic problems in symmetric domains for the divergence case.
dc.description.departmentMathematics
dc.formatText
dc.format.extent11 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationRagoub, L. (2000). Symmetry theorems via the continuous steiner symmetrization. <i>Electronic Journal of Differential Equations, 2000</i>(44), pp. 1-11.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/9136
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, 2000, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectMoving plane method
dc.subjectSteiner symmetrization
dc.subjectOverdetermined problems
dc.subjectLocal symmetry
dc.titleSymmetry Theorems via the Continuous Steiner Symmetrization
dc.typeArticle

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