Existence and multiplicity of solutions for p(.)-Kirchhoff-type equations
| dc.contributor.author | AyazoClu, Rabil | |
| dc.contributor.author | Akbulut, Sezgin | |
| dc.contributor.author | Akkoyunlu, Ebubekir | |
| dc.date.accessioned | 2024-10-04T18:50:59Z | |
| dc.date.available | 2024-10-04T18:50:59Z | |
| dc.date.issued | 2022 | |
| dc.department | Bayburt Üniversitesi | en_US |
| dc.description.abstract | This paper is concerned with the existence and multiplicity of solutions of a Dirichlet problem for p(.)- Kirchhoff-type equation {M(integral(Omega)vertical bar del vertical bar p(x)/p(x)dx) (-Delta(p(x))u) = f(x,u), in Omega, u = 0, on partial derivative Omega Using the mountain pass theorem, fountain theorem, dual fountain theorem and the theory of the variable exponent Sobolev spaces, under appropriate assumptions on f and M, we obtain results on existence and multiplicity of solutions. | en_US |
| dc.identifier.doi | 10.55730/1300-0098.3164 | |
| dc.identifier.endpage | 1359 | en_US |
| dc.identifier.issn | 1300-0098 | |
| dc.identifier.issn | 1303-6149 | |
| dc.identifier.issue | 4 | en_US |
| dc.identifier.scopus | 2-s2.0-85131410669 | en_US |
| dc.identifier.scopusquality | Q2 | en_US |
| dc.identifier.startpage | 1342 | en_US |
| dc.identifier.trdizinid | 535398 | en_US |
| dc.identifier.uri | https://doi.org/10.55730/1300-0098.3164 | |
| dc.identifier.uri | https://search.trdizin.gov.tr/tr/yayin/detay/535398 | |
| dc.identifier.uri | http://hdl.handle.net/20.500.12403/3298 | |
| dc.identifier.volume | 46 | en_US |
| dc.identifier.wos | WOS:000787536700001 | en_US |
| dc.identifier.wosquality | Q2 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.indekslendigikaynak | TR-Dizin | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Tubitak Scientific & Technological Research Council Turkey | en_US |
| dc.relation.ispartof | Turkish Journal of Mathematics | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Lebesgue and Sobolev spaces with variable exponent | en_US |
| dc.subject | p(.)-Laplacian | en_US |
| dc.subject | Kirchhoff-type equation | en_US |
| dc.subject | mountain pass theorem | en_US |
| dc.subject | fountain theorem | en_US |
| dc.subject | dual fountain theorem | en_US |
| dc.title | Existence and multiplicity of solutions for p(.)-Kirchhoff-type equations | en_US |
| dc.type | Article | en_US |
