Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 이종락 | - |
dc.date.accessioned | 2020-01-14T16:30:10Z | - |
dc.date.available | 2020-01-14T16:30:10Z | - |
dc.date.issued | 2019 | - |
dc.identifier.issn | 0304-9914 | - |
dc.identifier.issn | 2234-3008 | - |
dc.identifier.other | OAK-26260 | - |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/252379 | - |
dc.description.abstract | We 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.language | English | - |
dc.publisher | KOREAN MATHEMATICAL SOC | - |
dc.subject | fractional p-Laplacian | - |
dc.subject | variational methods | - |
dc.subject | critical point theory | - |
dc.title | EXISTENCE OF WEAK SOLUTIONS TO A CLASS OF SCHRODINGER TYPE EQUATIONS INVOLVING THE FRACTIONAL p-LAPLACIAN IN R-N | - |
dc.type | Article | - |
dc.relation.issue | 6 | - |
dc.relation.volume | 56 | - |
dc.relation.index | SCIE | - |
dc.relation.index | SCOPUS | - |
dc.relation.index | KCI | - |
dc.relation.startpage | 1529 | - |
dc.relation.lastpage | 1560 | - |
dc.relation.journaltitle | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | - |
dc.identifier.doi | 10.4134/JKMS.j180785 | - |
dc.identifier.wosid | WOS:000504648600007 | - |
dc.author.google | Kim, Jae-Myoung | - |
dc.author.google | Kim, Yun-Ho | - |
dc.author.google | Lee, Jongrak | - |
dc.contributor.scopusid | 이종락(21739984600) | - |
dc.date.modifydate | 20220112111653 | - |