On elliptic problems with Choquard term and singular nonlinearity

Choudhuri, Debajyoti (author), Repovš, Dušan (author), Saoudi, Kamel (author)

Using variational methods, we establish the existence of infinitely many solutions to an elliptic problem driven by a Choquard term and a singular nonlinearity. We further show that if the problem has a positive solution, then it is bounded a.e. in the domain $\Omega$ and is Hölder continuous.

• Language: English
• Keywords: Choquard term, variational method, dual fountain theorem, singular nonlinearity
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Author Accepted Manuscript
• Year: 2023
• Number of pages: Str. 255-266
• Numbering: Vol. 133, iss. 1/2
• PID: 20.500.12556/RUL-145806
• UDC: 517.956
• ISSN on article: 0921-7134
• DOI: 10.3233/ASY-221812
• COBISS.SI-ID: 130092291
• Publication date in RUL: 15.05.2023

Record is a part of a journal

• Title: Asymptotic analysis
• Shortened title: Asymptot. anal.
• Publisher: IOS Press
• ISSN: 0921-7134
• COBISS.SI-ID: 25030144