Positive Solutions of Singular Elliptic Equations Outside the Unit Disk

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dc.contributor.authorZeddini, Noureddine
dc.date.accessioned2020-06-30T15:57:36Z
dc.date.available2020-06-30T15:57:36Z
dc.date.issued2001-07-24
dc.description.abstractWe study the existence and the asymptotic behaviour of positive solutions for the nonlinear singular elliptical equation Δu + φ (., u) = 0 in the outside of the unit disk in ℝ2, with homogeneous Dirichlet boundary condition. The aim is to prove some existence results for the above equation in a general setting by using a potential theory approach.
dc.description.departmentMathematics
dc.formatText
dc.format.extent20 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationZeddini, N. (2001). Positive solutions of singular elliptic equations outside the unit disk. <i>Electronic Journal of Differential Equations, 2001</i>(53), pp. 1-20.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/11924
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, 2001, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectSingular elliptic equation
dc.subjectGreen function
dc.subjectSchauder fixed point theorem
dc.subjectMaximum principle
dc.subjectSuperharmonic function
dc.titlePositive Solutions of Singular Elliptic Equations Outside the Unit Disk
dc.typeArticle

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