Uniqueness for a Semilinear Elliptic Equation in Non-contractive Domains Under Supercritical Growth Conditions

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dc.contributor.authorZhang, Kewei
dc.date.accessioned2019-11-22T18:54:52Z
dc.date.available2019-11-22T18:54:52Z
dc.date.issued1999-09-15
dc.description.abstractWe apply the Pohozaev identity to sub-domains of a tubular neighbourhood of a closed or broken curve in ℝn and establish uniqueness results for the smooth solutions of the Dirichlet problem for -Δu + |u|p-1 u = 0. We require the domain to be in ℝn with n ≥ 4 and with p > (n + 1)/(n - 3).
dc.description.departmentMathematics
dc.formatText
dc.format.extent10 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationZhang, K. (1999). Uniqueness for a semilinear elliptic equation in non-contractive domains under supercritical growth conditions. <i>Electronic Journal of Differential Equations, 1999</i>(33), pp. 1-10.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/8884
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, 1999, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectSemilinear elliptic equation
dc.subjectSupercritical growth
dc.subjectUniqueness
dc.subjectNon-contractible domains
dc.subjectPohozaev identity
dc.titleUniqueness for a Semilinear Elliptic Equation in Non-contractive Domains Under Supercritical Growth Conditions
dc.typeArticle

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