Existence of Positive Solutions for some Dirichlet Problems with an Asymptotically Homogenous Operator

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dc.contributor.authorGarcia-Huidobro, Marta
dc.contributor.authorManasevich, Raul
dc.contributor.authorUbilla, Pedro
dc.date.accessioned2018-08-22T20:10:36Z
dc.date.available2018-08-22T20:10:36Z
dc.date.issued1995-11-27
dc.description.abstractExistence of positive radially symmetric solutions to a Dirichlet problem of the form -div(A(|Du|)Du) = ƒ(u) in Ω u = 0 on ∂Ω is studied by using blow-up techniques. It is proven here that by choosing the functions sA(s) and f(s) among a certain class called asymptotically homogeneous, the blow-up method still provides the a-priori bounds for positive solutions. Existence is proved then by using degree theory.
dc.description.departmentMathematics
dc.formatText
dc.format.extent22 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationGarcia-Huidobro, M., Manasevich, R. & Ubilla, P. (1995). Existence of positive solutions for some Dirichlet problems with an asymptotically homogeneous operator. <i>Electronic Journal of Differential Equations, 1995</i>(10), pp. 1-22.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/7580
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, 1995, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectDirichlet problem
dc.subjectPositive solution
dc.subjectBlow up
dc.titleExistence of Positive Solutions for some Dirichlet Problems with an Asymptotically Homogenous Operator
dc.typeArticle

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