Yamabe-type equations on Carnot groups

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

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.

• Jezik: Angleški jezik
• Ključne besede: subelliptic equation, critical problem, Carnot group, existence result, variational methods
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: PEF - Pedagoška fakulteta; FMF - Fakulteta za matematiko in fiziko
• Leto izida: 2017
• Št. strani: Str. 369-383
• Številčenje: Vol. 46, iss. 2
• PID: 20.500.12556/RUL-109548
• UDK: 517.956
• ISSN pri članku: 0926-2601
• DOI: 10.1007/s11118-016-9587-5
• COBISS.SI-ID: 17744729
• Datum objave v RUL: 05.09.2019

MOLICA BISCI, Giovanni in REPOVŠ, Dušan, 2017, Yamabe-type equations on Carnot groups. Potential analysis [na spletu]. 2017. Vol. 46, no. 2, p. 369–383. [Dostopano 7 julij 2025]. DOI 10.1007/s11118-016-9587-5. Pridobljeno s: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=slv&id=109548

Gradivo je del revije

• Naslov: Potential analysis
• Skrajšan naslov: Potential anal.
• Založnik: Kluwer Academic Publishers
• ISSN: 0926-2601
• COBISS.SI-ID: 512523801