Nonlinear elliptic equations on Carnot groups

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

Abstract

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.

Keywords

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

Data

Language:	English
Year of publishing:	2017
Typology:	1.01 - Original Scientific Article
Organization:	UL FMF - Faculty of Mathematics and Physics
UDC:	517.956
COBISS:	17738841
ISSN:	1578-7303
Views:	479
Downloads:	311
Average score:	0 (0 votes)
Metadata:

Other data

Type (COBISS):	Article
Pages:	str. 707-718
Volume:	ǂVol. ǂ111
Issue:	ǂiss. ǂ3
Chronology:	2017
DOI:	10.1007/s13398-016-0321-3
ID:	11216353