Nonlinear elliptic equations on Carnot groups

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

Povzetek

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

Ključne besede

subelliptic equation;Carnot group;weak solution;critical point result;Heisenberg group;Folland-Stein space;

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:	17738841
ISSN:	1578-7303
Št. ogledov:	479
Št. prenosov:	311
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Vrsta dela (COBISS):	Članek v reviji
Strani:	str. 707-718
Letnik:	ǂVol. ǂ111
Zvezek:	ǂiss. ǂ3
Čas izdaje:	2017
DOI:	10.1007/s13398-016-0321-3
ID:	11216353