Existence and uniqueness of solutions of a nonlocal problem involving the p(x)-Laplacian
Özet
The object of this paper is to study a nonlocal problem involving the p(x)-Laplacian where nonlinearities f do not necessarily satisfy the classical conditions, such as Ambrosetti-Rabinowitz condition, but are limited by functions that do satisfy some specific conditions. By using the direct variational approach and the theory of the variable exponent Sobolev spaces, the existence and uniqueness of solutions is obtained.
Anahtar Kelimeler
RDL Kalıcı Bağlantı (PID)
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Atıflar
- Scopus
- 1
Tam Kayıt
| Alan | Değer | Dil |
|---|---|---|
| dc.contributor.author | Avci, M. | |
| dc.contributor.author | Ayazoglu, R. | |
| dc.date.accessioned | 2026-10-29T19:11:26.409703937Z | |
| dc.date.available | 2026-10-29T19:11:26.409703937Z | |
| dc.date.issued | 2014 | |
| dc.description.abstract | The object of this paper is to study a nonlocal problem involving the p(x)-Laplacian where nonlinearities f do not necessarily satisfy the classical conditions, such as Ambrosetti-Rabinowitz condition, but are limited by functions that do satisfy some specific conditions. By using the direct variational approach and the theory of the variable exponent Sobolev spaces, the existence and uniqueness of solutions is obtained. | |
| dc.identifier.endpage | 37 | |
| dc.identifier.issn | 1223-6934 | |
| dc.identifier.issue | 1 | |
| dc.identifier.scopus | 2-s2.0-84904094708 | |
| dc.identifier.startpage | 30 | |
| dc.identifier.uri | https://rdlopen.rawdatalibrary.net/r/bayburt/13775 | |
| dc.identifier.volume | 41 | |
| dc.language.iso | en | |
| dc.publisher | University of Craiova | |
| dc.relation.ispartof | Annals of the University of Craiova, Mathematics and Computer Science Series | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.subject | Nonlocal problems | |
| dc.subject | P(x)-Laplacian | |
| dc.subject | Variable exponent sobolev spaces | |
| dc.subject | Variational method | |
| dc.title | Existence and uniqueness of solutions of a nonlocal problem involving the p(x)-Laplacian | |
| dc.type | Article | |
| rdl.citation.scopus | 1 | |
| rdl.oa.status | closed | |
| rdl.scopus.quartile | Q4 | |
| rdl.source.index | SCOPUS |