Existence of positive solutions for two nonlinear eigenvalue problems

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dc.contributor.authorRhouma, Nedra BelHaj
dc.contributor.authorMaatoug, Lamia
dc.date.accessioned2020-09-14T20:00:31Z
dc.date.available2020-09-14T20:00:31Z
dc.date.issued2003-02-15
dc.description.abstractWe study the existence of positive solutions for the following two nonlinear eigenvalue problems ∆u - g(., u)u + λƒ(.,u) = 0, ∆u - g(., u)u + λƒ(., u) = 0, in a bounded regular domain in ℝ2 with u = 0 on the boundary. We assume that ƒ and g are in Kato class of functions.
dc.description.departmentMathematics
dc.formatText
dc.format.extent16 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationRhouma, N. B., & Maatoug, L. (2003). Existence of positive solutions for two nonlinear eigenvalue problems. <i>Electronic Journal of Differential Equations, 2003</i>(16), pp. 1-16.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/12607
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, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectEigenvalue
dc.subjectKato class
dc.subjectGreen's function
dc.subjectSuperharmonic function
dc.subjectShauder fixed point theorem
dc.subjectMaximum principle
dc.titleExistence of positive solutions for two nonlinear eigenvalue problemsen_US
dc.typeArticle

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