Existence of positive solutions to nonlinear elliptic problem in the half space

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dc.contributor.authorBachar, Imed
dc.contributor.authorMaagli, Habib
dc.contributor.authorZribi, Malek
dc.date.accessioned2021-05-24T15:26:02Z
dc.date.available2021-05-24T15:26:02Z
dc.date.issued2005-04-14
dc.description.abstractThis paper concerns nonlinear elliptic equations in the half space ℝn+ := {x = (x' , xn) ∈ ℝn : xn > 0}, n ≥ 2, with a nonlinear term satisfying some conditions related to a certain Kato class of functions. We prove some existence results and asymptotic behaviour for positive solutions using a potential theory approach.
dc.description.departmentMathematics
dc.formatText
dc.format.extent16 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationBachar, I., Mâagli, H., & Zribi, M. (2005). Existence of positive solutions to nonlinear elliptic problem in the half space. Electronic Journal of Differential Equations, 2005(44), pp. 1-16.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13628
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectGreen function
dc.subjectElliptic equation
dc.subjectPositive solutions
dc.titleExistence of positive solutions to nonlinear elliptic problem in the half space
dc.typeArticle

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