On critical exponential Kirchhoff systems on the Heisenberg group

Li, Shiqi (author), Liang, Sihua (author), Repovš, Dušan (author)

In this paper, existence of solutions is established for critical exponential Kirchhoff systems on the Heisenberg group by using the variational method. The novelty of our paper is that not only the nonlinear term has critical exponential growth, but also that Kirchhoff function covers the degenerate case. Moreover, our result is new even for the Euclidean case.

• Language: English
• Keywords: Kirchhoff system, Heisenberg group, critical exponential growth, variational method
• 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. 2565-2577
• Numbering: Vol. 72, iss. 4
• PID: 20.500.12556/RUL-146157
• UDC: 517.956.2
• ISSN on article: 0009-725X
• DOI: 10.1007/s12215-022-00815-x
• COBISS.SI-ID: 121565699
• Publication date in RUL: 22.05.2023

Record is a part of a journal

• Title: Rendiconti del Circolo Matematico di Palermo
• Shortened title: Rend. Circ. Mat. Palermo
• Publisher: Circolo Matematico di Palermo
• ISSN: 0009-725X
• COBISS.SI-ID: 29690112