Dirichlet (p,q)-equations with gradient dependent and locally defined reaction

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dc.contributor.authorLiu, Zhenhai
dc.contributor.authorPapageorgiou, Nikolaos S.
dc.date.accessioned2021-08-23T19:37:19Z
dc.date.available2021-08-23T19:37:19Z
dc.date.issued2021-04-30
dc.description.abstractWe consider a Dirichlet (p,q)-equation, with a gradient dependent reaction which is only locally defined. Using truncations, theory of nonlinear operators of monotone type, and fixed point theory (the Leray-Schauder Alternative Theorem), we show the existence of a positive smooth solution.
dc.description.departmentMathematics
dc.formatText
dc.format.extent8 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationLiu, Z., & Papageorgiou, N. S. (2021). Dirichlet (p,q)-equations with gradient dependent and locally defined reaction. <i>Electronic Journal of Differential Equations, 2021</i>(34), pp. 1-8.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14431
dc.language.isoen
dc.publisherTexas 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, 2021, San Marcos, Texas: Texas State University and University of North Texas.
dc.subject(p,q)-differential operator
dc.subjectConvection
dc.subjectFixed point
dc.subjectNonlinear
dc.subjectRegularity
dc.subjectPositive solution
dc.subjectLeray-Schauder alternative theorem
dc.titleDirichlet (p,q)-equations with gradient dependent and locally defined reaction
dc.typeArticle

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