Existence of solutions for some nonlinear elliptic equations

dc.contributor.authorAnane, Aomar
dc.contributor.authorChakrone, Omar
dc.contributor.authorChehabi, Mohammed
dc.date.accessioned2021-07-16T19:21:10Z
dc.date.available2021-07-16T19:21:10Z
dc.date.issued2006-05-19
dc.description.abstractIn this paper, we study the existence of solutions to the following nonlinear elliptic problem in a bounded subset Ω of ℝN: -Δpu = ƒ(x, u, ∇u) + μ in Ω, u = 0 on ∂Ω, where μ is a Radon measure on Ω which is zero on sets of p-capacity zero, ƒ : Ω x ℝ x ℝN → ℝ is a Carathéodory function that satisfies certain conditions with respect to the one dimensional spectrum.
dc.description.departmentMathematics
dc.formatText
dc.format.extent13 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationAnane, A., Chakrone, O., & Chehabi, M. (2006). Existence of solutions for some nonlinear elliptic equations. <i>Electronic Journal of Differential Equations, 2006</i>(63), pp. 1-13.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13936
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.subjectBoundary value problem
dc.subjectTruncation
dc.subjectp-Laplacian
dc.subjectSpectrum
dc.titleExistence of solutions for some nonlinear elliptic equationsen_US
dc.typeArticle

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