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dc.contributor.author이종락-
dc.date.accessioned2020-01-14T16:30:10Z-
dc.date.available2020-01-14T16:30:10Z-
dc.date.issued2019-
dc.identifier.issn0304-9914-
dc.identifier.issn2234-3008-
dc.identifier.otherOAK-26260-
dc.identifier.urihttps://dspace.ewha.ac.kr/handle/2015.oak/252379-
dc.description.abstractWe are concerned with the following elliptic equations: (-Delta)(p)(s)u + V(x)vertical bar u vertical bar(p-2)u = lambda g(x,u) in R-N, where (-Delta)(p)(s) is the fractional p-Laplacian operator with 0 < s < 1 < p < + infinity, sp < N, the potential function V : R-N -> (0, infinity) is a continuous potential function, and g : R-N x R -> R satisfies a Caratheodory condition. We show the existence of at least one weak solution for the problem above without the Ambrosetti and Rabinowitz condition. Moreover, we give a positive interval of the parameter lambda for which the problem admits at least one nontrivial weak solution when the nonlinearity g has the subcritical growth condition.-
dc.languageEnglish-
dc.publisherKOREAN MATHEMATICAL SOC-
dc.subjectfractional p-Laplacian-
dc.subjectvariational methods-
dc.subjectcritical point theory-
dc.titleEXISTENCE OF WEAK SOLUTIONS TO A CLASS OF SCHRODINGER TYPE EQUATIONS INVOLVING THE FRACTIONAL p-LAPLACIAN IN R-N-
dc.typeArticle-
dc.relation.issue6-
dc.relation.volume56-
dc.relation.indexSCIE-
dc.relation.indexSCOPUS-
dc.relation.indexKCI-
dc.relation.startpage1529-
dc.relation.lastpage1560-
dc.relation.journaltitleJOURNAL OF THE KOREAN MATHEMATICAL SOCIETY-
dc.identifier.doi10.4134/JKMS.j180785-
dc.identifier.wosidWOS:000504648600007-
dc.author.googleKim, Jae-Myoung-
dc.author.googleKim, Yun-Ho-
dc.author.googleLee, Jongrak-
dc.date.modifydate20200227081002-
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