Entire solutions of semilinear elliptic equations

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dc.contributor.authorGladkov, Alexander
dc.contributor.authorSlepchenkov, Nickolai
dc.date.accessioned2021-04-26T16:17:35Z
dc.date.available2021-04-26T16:17:35Z
dc.date.issued2004-06-23
dc.description.abstractWe consider existence of entire solutions of a semilinear elliptic equation ∆u = k(x) ƒ(u) for x ∈ ℝn, n ≥ 3. Conditions of the existence of entire solutions have been obtained by different authors. We prove a certain optimality of these results and new sufficient conditions for the nonexistence of entire solutions.
dc.description.departmentMathematics
dc.formatText
dc.format.extent10 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationGladkov, A., & Slepchenkov, N. (2004). Entire solutions of semilinear elliptic equations. <i>Electronic Journal of Differential Equations, 2004</i>(86), pp. 1-10.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13440
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, 2004, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectSemilinear elliptic equation
dc.subjectEntire solutions
dc.subjectNonexistence
dc.titleEntire solutions of semilinear elliptic equations
dc.typeArticle

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