A Singular ODE Related to Quasilinear Elliptic Equations

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dc.contributor.authorKorkut, Luka
dc.contributor.authorPasic, Mervan
dc.contributor.authorZubrinic, Darko
dc.date.accessioned2019-12-20T19:48:14Z
dc.date.available2019-12-20T19:48:14Z
dc.date.issued2000-02-12
dc.description.abstractWe consider a quasilinear elliptic problem with the natural growth in the gradient. Existence, non-existence, uniqueness, and qualitative properties of positive solutions are obtained. We consider both weak and strong solutions. All results are based on the study of a suitable singular ODE of the first order. We also introduce a comparison principle for a class of nonlinear integral operators of Volterra type that enables to obtain uniqueness of weak solutions of the quasilinear equation.
dc.description.departmentMathematics
dc.formatText
dc.format.extent37 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationKorkut, L., Pasic, M., & Zubrinic, D. (2000). A singular ODE related to quasilinear elliptic equations. <i>Electronic Journal of Differential Equations, 2000</i>(12), pp. 1-37.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/9122
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.subjectp-Laplacian
dc.subjectSpherically symmetric
dc.subjectExistence
dc.subjectNon-existence
dc.subjectUniqueness
dc.subjectComparison principle
dc.subjectSingular ODE
dc.subjectRegularity
dc.titleA Singular ODE Related to Quasilinear Elliptic Equationsen_US
dc.typeArticle

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