Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 이종락 | - |
dc.date.accessioned | 2018-11-15T16:30:07Z | - |
dc.date.available | 2018-11-15T16:30:07Z | - |
dc.date.issued | 2018 | - |
dc.identifier.issn | 2073-8994 | - |
dc.identifier.other | OAK-23598 | - |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/246474 | - |
dc.description.abstract | We herein discuss the following elliptic equations: M( integral(RN)integral(RN) vertical bar u(x)-u(y)vertical bar(p)/vertical bar x-y vertical bar(N+ps) dx dy)(-Delta)(p)(s)u + V(x)vertical bar u vertical bar(p-2) u = lambda f(x,u) in R-N, where (-Delta)(p)(s) is the fractional p-Laplacian defined by (-Delta)(p)(s) u(x) = 2 lim(epsilon SE arrow 0 )integral(RN\B epsilon(x)) vertical bar u(x)-u(y)vertical bar(p-2)(u(x)-u(y))/vertical bar x-y vertical bar(N+ps) dy, x is an element of R-N. Here, B-epsilon(x): = {y is an element of R-N: vertical bar x-y vertical bar < epsilon}, V : R-N -> (0, infinity) is a continuous function and f : R-N x R -> R is the Caratheodory function. Furthermore, M : R-0(+)-> R+ is a Kirchhoff-type function. This study has two aims. One is to study the existence of infinitely many large energy solutions for the above problem via the variational methods. In addition, a major point is to obtain the multiplicity results of the weak solutions for our problem under various assumptions on the Kirchhoff function M and the nonlinear term f. The other is to prove the existence of small energy solutions for our problem, in that the sequence of solutions converges to 0 in the L-infinity-norm. | - |
dc.language | English | - |
dc.publisher | MDPI | - |
dc.subject | fractional p-Laplacian | - |
dc.subject | Kirchhoff-type equations | - |
dc.subject | fountain theorem | - |
dc.subject | modified functional methods | - |
dc.subject | Moser iteration method | - |
dc.title | Multiplicity of Small or Large Energy Solutions for Kirchhoff-Schrodinger-Type Equations Involving the Fractional p-Laplacian in R-N | - |
dc.type | Article | - |
dc.relation.issue | 10 | - |
dc.relation.volume | 10 | - |
dc.relation.index | SCIE | - |
dc.relation.index | SCOPUS | - |
dc.relation.journaltitle | SYMMETRY-BASEL | - |
dc.identifier.doi | 10.3390/sym10100436 | - |
dc.identifier.wosid | WOS:000448561000016 | - |
dc.identifier.scopusid | 2-s2.0-85055751918 | - |
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 | - |