Existence of solutions for Kirchhoff-type problems via the method of lower and upper solutions

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dc.contributor.authorYan, Baoqiang
dc.contributor.authorO'Regan, Donal
dc.contributor.authorAgarwal, Ravi P.
dc.date.accessioned2021-11-05T17:55:42Z
dc.date.available2021-11-05T17:55:42Z
dc.date.issued2019-04-29
dc.description.abstractThis article considers elliptic problems of Kirchhoff-type. We give some new definitions of lower and upper solutions for the problem and establish the method of lower and upper solutions when the upper and lower solutions are well ordered, i.e., the lower solution is less than the upper one, and we also consider the case when the upper and lower solutions have opposite ordering. In addition we use the relation between the topological degree and strict upper and lower solutions in both cases and using this we obtain multiplicity results for nonlinear Kirchhoff-type elliptic problems.
dc.description.departmentMathematics
dc.formatText
dc.format.extent19 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationYan, B., O'Regan, D., & Agarwal, R. P. (2019). Existence of solutions for Kirchhoff-type problems via the method of lower and upper solutions. <i>Electronic Journal of Differential Equations, 2019</i>(54), pp. 1-19.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14787
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, 2019, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectKirchhoff-type elliptic problem
dc.subjectLower and upper solution
dc.subjectTopological degree
dc.titleExistence of solutions for Kirchhoff-type problems via the method of lower and upper solutions
dc.typeArticle

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