On subelliptic equations on stratified Lie groups driven by singular nonlinearity and weak $L^1$ data

Sahu, Subhashree (author), Choudhuri, Debajyoti (author), Repovš, Dušan (author)

The article is about an elliptic problem defined on a stratified Lie group. Both sub and superlinear cases are considered whose solutions are guaranteed to exist in light of the interplay between the nonlinearities and the weak $L^1$ datum. The existence of infinitely many solutions is proved for suitable values of $\lambda$, $p$, $q$ by using the Symmetric Mountain Pass Theorem.

• Language: English
• Keywords: stratified Lie groups, subelliptic operators, Marcinkiewicz space, singular problem
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics; PEF - Faculty of Education
• Publication status: Published
• Publication version: Version of Record
• Publication date: 01.07.2025
• Year: 2025
• Number of pages: Str. 953-967
• Numbering: Vol. 143, iss. 4
• PID: 20.500.12556/RUL-171193
• UDC: 517.9
• ISSN on article: 0921-7134
• DOI: 10.3233/ASY-241945
• COBISS.SI-ID: 210457603

Copyright

Licenca Creative Commons je navedena v posebni izjavi: The Proprietor will publish the Contribution under this Creative Commons license: Creative Commons Attribution license (CC BY 4.0). (Datum opombe: 19. 8. 2025.

• Publication date in RUL: 19.08.2025

Record is a part of a journal

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

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.