Nonexistence of solutions to KPP-type equations of dimension greater than or equal to one

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dc.contributor.authorEnglander, Janos
dc.contributor.authorSimon, Peter L.
dc.date.accessioned2021-07-14T17:11:58Z
dc.date.available2021-07-14T17:11:58Z
dc.date.issued2006-01-24
dc.description.abstractIn this article, we consider a semilinear elliptic equations of the form ∆u + ƒ(u) = 0, where ƒ is a concave function. We prove for arbitrary dimensions that there is no solution bounded in (0, 1). The significance of this result in probability theory is also discussed.
dc.description.departmentMathematics
dc.formatText
dc.format.extent6 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationEngländer, J., & Simon, P. L. (2006). Nonexistence of solutions to KPP-type equations of dimension greater than or equal to one. <i>Electronic Journal of Differential Equations, 2006</i>(09), pp. 1-6.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13882
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectKPP-equation
dc.subjectSemilinear elliptic equations
dc.subjectPositive bounded solutions
dc.subjectBranching Brownian-motion
dc.titleNonexistence of solutions to KPP-type equations of dimension greater than or equal to one
dc.typeArticle

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