Yamabe-type equations on Carnot groups

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

This article is concerned with a class of elliptic equations on Carnot groups depending of one real positive parameter and involving a critical nonlinearity. As a special case of our results we prove the existence of at least one nontrivial solution for a subelliptic critical equation defined on a smooth and bounded domain ▫$D$▫ of the Heisenberg group ▫$\mathbb{H}^n = \mathbb{C}^n \times \mathbb{R}$▫. Our approach is based on pure variational methods and locally sequentially weakly lower semicontinuous arguments.

• Language: English
• Keywords: subelliptic equation, critical problem, Carnot group, existence result, variational methods
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Year: 2017
• Number of pages: Str. 369-383
• Numbering: Vol. 46, iss. 2
• PID: 20.500.12556/RUL-109548
• UDC: 517.956
• ISSN on article: 0926-2601
• DOI: 10.1007/s11118-016-9587-5
• COBISS.SI-ID: 17744729
• Publication date in RUL: 05.09.2019

Record is a part of a journal

• Title: Potential analysis
• Shortened title: Potential anal.
• Publisher: Kluwer Academic Publishers
• ISSN: 0926-2601
• COBISS.SI-ID: 512523801