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

Abstract

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.

Keywords

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

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FMF - Faculty of Mathematics and Physics
UDC: 517.956
COBISS: 17744729 Link will open in a new window
ISSN: 0926-2601
Views: 538
Downloads: 341
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Other data

Type (COBISS): Article
Pages: str. 369-383
Volume: ǂVol. ǂ46
Issue: ǂiss. ǂ2
Chronology: Feb. 2017
DOI: 10.1007/s11118-016-9587-5
ID: 11216356