Existence and uniqueness of positive solutions to a quasilinear elliptic problem in ℝN

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dc.contributor.authorCovei, Dragos-Patru
dc.date.accessioned2021-07-13T19:46:50Z
dc.date.available2021-07-13T19:46:50Z
dc.date.issued2005-12-05
dc.description.abstractWe prove the existence of a unique positive solution to the problem -Δpu = α(x)ƒ(u) in ℝN, N > 2. Our result extended previous works by Cirstea-Radulescu and Dinu, while the proofs are based on two theorems on bounded domains, due to Diaz-Saà and Goncalves-Santos.
dc.description.departmentMathematics
dc.formatText
dc.format.extent17 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationCovei, D. P. (2005). Existence and uniqueness of positive solutions to a quasilinear elliptic problem in ℝN. <i>Electronic Journal of Differential Equations, 2005</i>(139), pp. 1-15.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13864
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.subjectQuasilinear elliptic problem
dc.subjectUniqueness
dc.subjectExistence
dc.subjectNonexistence
dc.subjectLower-upper solutions
dc.titleExistence and uniqueness of positive solutions to a quasilinear elliptic problem in ℝN
dc.typeArticle

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