Symmetry and Convexity of Level Sets of Solutions to the Infinity Laplace's Equation

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dc.contributor.authorRosset, Edi
dc.date.accessioned2019-03-25T21:52:39Z
dc.date.available2019-03-25T21:52:39Z
dc.date.issued1998-12-09
dc.description.abstractWe consider the Dirichlet problem -Δ∞u = ƒ(u) in Ω, u = 0 on ∂Ω, where Δ∞u = uxi, uxj, uxi xj and ƒ is a nonnegative continuous function. We investigate whether the solutions to this equation inherit geometrical properties from the domain Ω. We obtain results concerning convexity of level sets and symmetry of solutions.
dc.description.departmentMathematics
dc.formatText
dc.format.extent12 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationRosset, E. (1998). Symmetry and convexity of level sets of solutions to the infinity Laplace's equation. <i>Electronic Journal of Differential Equations, 1998,</i>(34), pp. 1-12.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/7947
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, 1998, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectInfinity-Laplace equation
dc.subjectp-Laplace equation
dc.titleSymmetry and Convexity of Level Sets of Solutions to the Infinity Laplace's Equation
dc.typeArticle

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