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Lee, Youngae
Nonlinear Analysis Lab.
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dc.citation.endPage 283 -
dc.citation.number 2 -
dc.citation.startPage 251 -
dc.citation.title TAIWANESE JOURNAL OF MATHEMATICS -
dc.citation.volume 26 -
dc.contributor.author Kim, Soojung -
dc.contributor.author Lee, Youngae -
dc.date.accessioned 2023-12-21T14:19:39Z -
dc.date.available 2023-12-21T14:19:39Z -
dc.date.created 2022-01-12 -
dc.date.issued 2022-04 -
dc.description.abstract In this paper, we study the fractional Henon-Lane-Emden equation associated with Hardy potential (-Delta)(s)u-gamma vertical bar x vertical bar(-2s) u=vertical bar x vertical bar(a)vertical bar u vertical bar(p-1)u in R-n. Extending the celebrated result of [14], we obtain a classification result on finite Morse index solutions to the fractional elliptic equation above with Hardy potential. In particular, a critical exponent p of Joseph-Lundgren type is derived in the supercritical case studying a Liouville type result for the s-harmonic extension problem. -
dc.identifier.bibliographicCitation TAIWANESE JOURNAL OF MATHEMATICS, v.26, no.2, pp.251 - 283 -
dc.identifier.doi 10.11650/tjm/211203 -
dc.identifier.issn 1027-5487 -
dc.identifier.scopusid 2-s2.0-85127481275 -
dc.identifier.uri https://scholarworks.unist.ac.kr/handle/201301/56569 -
dc.identifier.url https://projecteuclid.org/journals/taiwanese-journal-of-mathematics/volume--1/issue--1/Finite-Morse-Index-Solutions-of-the-Fractional-HenonLaneEmden-Equation-with/10.11650/tjm/211203.full -
dc.identifier.wosid 000734027200001 -
dc.language 영어 -
dc.publisher MATHEMATICAL SOC REP CHINA -
dc.title Finite Morse Index Solutions of the Fractional Henon-Lane-Emden Equation with Hardy Potential -
dc.type Article -
dc.description.isOpenAccess FALSE -
dc.relation.journalWebOfScienceCategory Mathematics -
dc.relation.journalResearchArea Mathematics -
dc.type.docType Article; Early Access -
dc.description.journalRegisteredClass scie -
dc.description.journalRegisteredClass scopus -
dc.subject.keywordAuthor finite Morse index solution -
dc.subject.keywordAuthor fractional Henon-Lane-Emden equations -
dc.subject.keywordAuthor Hardy potential -
dc.subject.keywordAuthor monotonicity formula -
dc.subject.keywordPlus WEIGHTED NORM INEQUALITIES -
dc.subject.keywordPlus STABLE-SOLUTIONS -
dc.subject.keywordPlus ELLIPTIC-EQUATIONS -
dc.subject.keywordPlus PARTIAL REGULARITY -
dc.subject.keywordPlus DIRICHLET PROBLEM -
dc.subject.keywordPlus DELTA-U -
dc.subject.keywordPlus CLASSIFICATION -
dc.subject.keywordPlus ASYMPTOTICS -
dc.subject.keywordPlus E(U) -

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