On nonlocal Dirichlet problems with oscillating term

Gabrovšek, Boštjan (author), Molica Bisci, Giovanni (author), Repovš, Dušan (author)

In this paper, a class of nonlocal fractional Dirichlet problems is studied. By using a variational principle due to Ricceri (whose original version was given in J. Comput. Appl. Math. 113 (2000), 401-410), the existence of infinitely many weak solutions for these problems is established by requiring that the nonlinear term $f$ has a suitable oscillating behaviour either at the origin or at infinity.

• Language: English
• Keywords: variational methods, p-fractional Laplacian operator, infinitely many solutions
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FS - Faculty of Mechanical Engineering; PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Version of Record
• Year: 2023
• Number of pages: Str. 1401-1413
• Numbering: Vol. 16, no. 6
• PID: 20.500.12556/RUL-146298-cc31eadd-7e1f-4de8-0f8c-309dbdd036a7
• UDC: 517.951.6
• ISSN on article: 1937-1632
• DOI: 10.3934/dcdss.2022130
• COBISS.SI-ID: 111646723

Copyright

Založnikova različica članka je v RUL shranjena v skladu z založnikovo pogodbo z avtorji. (Datum opombe: 23. 5. 2023)

• Publication date in RUL: 23.05.2023

Record is a part of a journal

• Title: Discrete and continuous dynamical systems. Series S
• Shortened title: Discret. contin. dyn. syst., Ser. S
• Publisher: American Institute of Mathematical Sciences
• ISSN: 1937-1632
• COBISS.SI-ID: 16098905