Positive Solutions of Nonlinear Elliptic Equations in a Half Space in R2

dc.contributor.authorBachar, Imed
dc.contributor.authorMaagli, Habib
dc.contributor.authorMaatoug, Lamia
dc.date.accessioned2020-08-05T19:58:00Z
dc.date.available2020-08-05T19:58:00Z
dc.date.issued2002-05-16
dc.description.abstractWe study the existence and the asymptotic behaviour of positive solutions of the nonlinear equation Δu + ƒ(., u) = 0, in the domain D = {(x1, x2) ∈ ℝ2 : x2 > 0}, with u = 0 on the boundary. The aim is to prove some existence results for the above equation in a general setting by using a fixed-point argument.
dc.description.departmentMathematics
dc.formatText
dc.format.extent24 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationBachar, I., Maagli, H., & Maatoug, L. (2002). Positive solutions of nonlinear elliptic equations in a half space in R2. <i>Electronic Journal of Differential Equations, 2002</i>(41), pp. 1-24.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/12315
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.subjectSingular elliptic equation
dc.subjectSuperharmonic function
dc.subjectGreen function
dc.subjectSchauder fixed point theorem
dc.subjectMaximum principle
dc.titlePositive Solutions of Nonlinear Elliptic Equations in a Half Space in R2
dc.typeArticle

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