Yamabe-type equations on Carnot groups

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

Povzetek

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.

Ključne besede

subelliptic equation;critical problem;Carnot group;existence result;variational methods;

Podatki

Jezik:	Angleški jezik
Leto izida:	2017
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UL FMF - Fakulteta za matematiko in fiziko
UDK:	517.956
COBISS:	17744729
ISSN:	0926-2601
Št. ogledov:	538
Št. prenosov:	341
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Vrsta dela (COBISS):	Članek v reviji
Strani:	str. 369-383
Letnik:	ǂVol. ǂ46
Zvezek:	ǂiss. ǂ2
Čas izdaje:	Feb. 2017
DOI:	10.1007/s11118-016-9587-5
ID:	11216356