Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/41615
Title: | Existence of solution of sub-elliptic equations on the Heisenberg group with critical growth and double singularities |
Author: | Chen, Jianqing Rocha, Eugénio M. |
Keywords: | Sub-elliptic equations Heisenberg group Least energy solutions |
Issue Date: | 2013 |
Publisher: | AGH University of Krakow |
Abstract: | For a class of sub-elliptic equations on Heisenberg group ℍN with Hardy type singularity and critical nonlinear growth, we prove the existence of least energy solutions by developing new techniques based on the Nehari constraint. This result extends previous works, e.g., by Han et al. [Hardy-Sobolev type inequalities on the H-type group, Manuscripta Math. 118(2005), 235-252]. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/41615 |
DOI: | 10.7494/OpMath.2013.33.2.237 |
ISSN: | 1232−9274 |
Publisher Version: | https://www.opuscula.agh.edu.pl/om-vol33iss2art3 |
Appears in Collections: | CIDMA - Artigos FAAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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e89b9b5def249f41e8506baf8e62309615a9.pdf | 406.94 kB | Adobe PDF | View/Open |
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