Infinitely many sign-changing solutions of an elliptic problem involving critical Sobolev and Hardy-Sobolev exponent

dc.contributor.authorBHAKTA, MOUSOMIen_US
dc.contributor.departmentDept. of Mathematicsen_US
dc.date.accessioned2019-07-01T05:37:14Z
dc.date.available2019-07-01T05:37:14Z
dc.date.issued2017-04en_US
dc.description.abstractWe study the existence and multiplicity of sign-changing solutions of the following equation {−Δ𝑢=𝜇|𝑢|2⋆−2𝑢+|𝑢|2∗(𝑡)−2𝑢|𝑥|𝑡+𝑎(𝑥)𝑢inΩ,𝑢=0on∂Ω, where Ω is a bounded domain in ℝ𝑁, 0∈∂Ω, all the principal curvatures of ∂Ω at 0 are negative and μ≥0, a>0, N≥7, 0<t<2, 2⋆=2𝑁𝑁−2 and 2⋆(𝑡)=2(𝑁−𝑡)𝑁−2.en_US
dc.identifier.citationProceedings - Mathematical Sciences, 127(2), 337-347.en_US
dc.identifier.issn0253-4142en_US
dc.identifier.issn0973-7685en_US
dc.identifier.sourcetitleProceedings - Mathematical Sciencesen_US
dc.identifier.urihttp://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/3340
dc.identifier.urihttps://doi.org/10.1007/s12044-016-0304-5
dc.language.isoenen_US
dc.publication.originofpublisherForeignen_US
dc.publisherSpringer Natureen_US
dc.subjectSign-changing solutionen_US
dc.subjectmultiple critical exponenten_US
dc.subjectHardy-Soboleven_US
dc.subjectInfinitely many solutionsen_US
dc.subject2017en_US
dc.titleInfinitely many sign-changing solutions of an elliptic problem involving critical Sobolev and Hardy-Sobolev exponenten_US
dc.typeArticleen_US

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