Existence of positive solutions for higher order singular sublinear elliptic equations

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dc.contributor.authorBachar, Imed
dc.date.accessioned2021-07-20T14:27:59Z
dc.date.available2021-07-20T14:27:59Z
dc.date.issued2006-08-31
dc.description.abstractWe present existence result for the polyharmonic nonlinear problem (-Δ)pmu = φ(., u) + ψ(., u), in B u > 0, in B lim|x|→1 (-Δ)jmu(x) / (1 - |x|)m-1 = 0, 0 ≤ j ≤ p - 1, in the sense of distributions. Here m, p are positive integers, B is the unit ball in ℝn(n ≥ 2) and the nonlinearity is a sum of a singular and sublinear terms satisfying some appropriate conditions related to a polyharmonic Kato class of functions J(p)m,n.
dc.description.departmentMathematics
dc.formatText
dc.format.extent9 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationBachar, I. (2006). Existence of positive solutions for higher order singular sublinear elliptic equations. Electronic Journal of Differential Equations, 2006(102), pp. 1-9.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13975
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, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectGreen function
dc.subjectHigher-order elliptic equations
dc.subjectPositive solution
dc.subjectSchauder fixed point theorem
dc.titleExistence of positive solutions for higher order singular sublinear elliptic equations
dc.typeArticle

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