Dirichlet Problem for Quasi-Linear Elliptic Equations

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dc.contributor.authorBaalal, Azeddine
dc.contributor.authorRhouma, Nedra BelHaj
dc.date.accessioned2020-08-18T19:48:45Z
dc.date.available2020-08-18T19:48:45Z
dc.date.issued2002-10-02
dc.description.abstractWe study the Dirichlet Problem associated to the quasilinear elliptic problem -Σni=1 ∂/ ∂xi Ai(x, u(x), ∇u(x)) + B(x, u(x), ∇u(x)) = 0. Then we define a potential theory related to this problem and we show that the sheaf of continuous solutions satisfies the Bauer axiomatic theory.
dc.description.departmentMathematics
dc.formatText
dc.format.extent18 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationBaalal, A., Rhouma, N. B. (2002). Dirichlet problem for quasi-linear elliptic equations. <i>Electronic Journal of Differential Equations, 2002</i>(82), pp. 1-18.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/12415
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, 2002, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectSupersolution
dc.subjectDirichlet problem
dc.subjectObstacle problem
dc.subjectNonlinear potential theory
dc.titleDirichlet Problem for Quasi-Linear Elliptic Equations
dc.typeArticle

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