Singular radial solutions for the Lin-Ni-Takagi equation

Show simple item record

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
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.uri info:eu-repo/semantics/openAccess
dc.subject ELLIPTIC NEUMANN PROBLEM
dc.subject LEAST-ENERGY SOLUTIONS
dc.subject POSITIVE SOLUTIONS
dc.subject INTERIOR
dc.subject NONLINEARITY
dc.subject SEGMENTS
dc.subject SPIKES
dc.subject 111 Mathematics
dc.title Singular radial solutions for the Lin-Ni-Takagi equation en
dc.type Article
dc.contributor.organization Geometric Analysis and Partial Differential Equations
dc.contributor.organization Department of Mathematics and Statistics
dc.description.reviewstatus Peer reviewed
dc.relation.doi https://doi.org/10.1007/s00526-020-01824-3
dc.relation.issn 0944-2669
dc.rights.accesslevel openAccess
dc.type.version publishedVersion

Files in this item

Total number of downloads: Loading...

Files Size Format View
Casteras_F_ldes ... dialSolutionsForTheL_1.pdf 294.6Kb PDF View/Open

This item appears in the following Collection(s)

Show simple item record