Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 이종락 | - |
dc.date.accessioned | 2018-11-21T16:30:43Z | - |
dc.date.available | 2018-11-21T16:30:43Z | - |
dc.date.issued | 2018 | - |
dc.identifier.issn | 1025-5834 | - |
dc.identifier.other | OAK-22157 | - |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/246836 | - |
dc.description.abstract | We are concerned with the following quasilinear Choquard equation: −Δpu+V(x) | - |
dc.description.abstract | u | - |
dc.description.abstract | p−2u=λ(Iα∗F(u))f(u)in RN,F(t)=∫0tf(s)ds,(Formula presented.) where 1 < p< ∞ , Δ pu= ∇ ⋅ ( | - |
dc.description.abstract | ∇ u | - |
dc.description.abstract | p − 2∇ u) is the p-Laplacian operator, the potential function V: RN→ (0 , ∞) is continuous and F∈ C1(R, R). Here, Iα: RN→ R is the Riesz potential of order α∈ (0 , p). We study the existence of weak solutions for the problem above via the mountain pass theorem and the fountain theorem. Furthermore, we address the behavior of weak solutions to the problem near the origin under suitable assumptions for the nonlinear term f. © 2018, The Author(s). | - |
dc.description.sponsorship | Ministry of Science, ICT and Future Planning | - |
dc.language | English | - |
dc.publisher | Springer International Publishing | - |
dc.subject | Choquard equation | - |
dc.subject | Variational method | - |
dc.subject | Weak solutions | - |
dc.title | Existence of nontrivial weak solutions for a quasilinear Choquard equation | - |
dc.type | Article | - |
dc.relation.volume | 2018 | - |
dc.relation.index | SCOPUS | - |
dc.relation.journaltitle | Journal of Inequalities and Applications | - |
dc.identifier.doi | 10.1186/s13660-018-1632-z | - |
dc.identifier.wosid | WOS:000425380400003 | - |
dc.identifier.scopusid | 2-s2.0-85042325196 | - |
dc.author.google | Lee J. | - |
dc.author.google | Kim J.-M. | - |
dc.author.google | Bae J.-H. | - |
dc.author.google | Park K. | - |
dc.contributor.scopusid | 이종락(21739984600) | - |
dc.date.modifydate | 20220112111653 | - |