Nonexistence of Solutions for Quasilinear Elliptic Equations with p-growth in the Gradient

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dc.contributor.authorZubrinic, Darko
dc.date.accessioned2020-08-11T20:37:10Z
dc.date.available2020-08-11T20:37:10Z
dc.date.issued2002-06-11
dc.description.abstractWe study the nonexistence of weak solutions in W1,p loc (Ω) for a class of quasilinear elliptic boundary-value problems with natural growth in the gradient. Nonsolvability conditions involve general domains with possible singularities of the right-hand side. In particular, we show that if the data on the right-hand side are sufficiently large, or if inner radius of Ω is large, then there are no weak solutions.
dc.description.departmentMathematics
dc.formatText
dc.format.extent8 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationZubrinic, D. (2002). Nonexistence of solutions for quasilinear elliptic equations with p-growth in the gradient. <i>Electronic Journal of Differential Equations, 2002</i>(54), pp. 1-8.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/12354
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.subjectQuasilinear elliptic
dc.subjectExistence
dc.subjectNonexistence
dc.subjectGeometry of domains
dc.titleNonexistence of Solutions for Quasilinear Elliptic Equations with p-growth in the Gradient
dc.typeArticle

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