Singular radial solutions for the Lin-Ni-Takagi equation

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dc.contributor University of Helsinki, Geometric Analysis and Partial Differential Equations en
dc.contributor.author Casteras, Jean-Baptiste
dc.contributor.author Földes, Juraj
dc.date.accessioned 2020-11-18T11:00:06Z
dc.date.available 2020-11-18T11:00:06Z
dc.date.issued 2020-09-13
dc.identifier.citation Casteras , J-B & Földes , J 2020 , ' Singular radial solutions for the Lin-Ni-Takagi equation ' , Calculus of Variations and Partial Differential Equations , vol. 59 , no. 5 , 168 . https://doi.org/10.1007/s00526-020-01824-3 en
dc.identifier.issn 0944-2669
dc.identifier.other PURE: 145535819
dc.identifier.other PURE UUID: 4ed17aca-aaf2-4bfa-b1b0-496d93a34403
dc.identifier.other WOS: 000572042300003
dc.identifier.uri http://hdl.handle.net/10138/321645
dc.description.abstract We study singular radially symmetric solution to the Lin-Ni-Takagi equation for a supercritical power non-linearity in dimension N >= 3. It is shown that for any ball and any k >= 0, there is a singular solution that satisfies Neumann boundary condition and oscillates at leastktimes around the constant equilibrium. Moreover, we show that the Morse index of the singular solution is finite or infinite if the exponent is respectively larger or smaller than the Joseph-Lundgren exponent. en
dc.format.extent 20
dc.language.iso eng
dc.relation.ispartof Calculus of Variations and Partial Differential Equations
dc.rights en
dc.subject ELLIPTIC NEUMANN PROBLEM en
dc.subject LEAST-ENERGY SOLUTIONS en
dc.subject POSITIVE SOLUTIONS en
dc.subject INTERIOR en
dc.subject NONLINEARITY en
dc.subject SEGMENTS en
dc.subject SPIKES en
dc.subject 111 Mathematics en
dc.title Singular radial solutions for the Lin-Ni-Takagi equation en
dc.type Article
dc.description.version Peer reviewed
dc.identifier.doi https://doi.org/10.1007/s00526-020-01824-3
dc.type.uri info:eu-repo/semantics/other
dc.type.uri info:eu-repo/semantics/publishedVersion
dc.contributor.pbl
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