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:
Tipologija: 1.01 - Izvirni znanstveni članek
Organizacija: UL FMF - Fakulteta za matematiko in fiziko
UDK: 517.956
COBISS: 17744729 Povezava se bo odprla v novem oknu
ISSN: 0926-2601
Št. ogledov: 538
Št. prenosov: 341
Ocena: 0 (0 glasov)
Metapodatki: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

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