Non-local elliptic systems on the heisenberg group

Nasser Al-Salti; Sebti Kerbal

Non-local elliptic systems on the heisenberg group

Mathematics & Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

We present Liouville type results for certain systems of nonlinear elliptic equations containing fractional powers of the Laplacian on the Heisenberg group. Our method of proof is based on the test function method and a recent inequality proved by Alsaedi, Ahmad, and Kirane, leading to the derivation of sufficient conditions in terms of space dimension and systems parameters.

Original language	English
Article number	09
Journal	Electronic Journal of Differential Equations
Volume	2016
Publication status	Published - Jan 6 2016

Keywords

Convexity inequality
Fractional diffusion operator
Nonlinear elliptic systems

ASJC Scopus subject areas

Analysis

Cite this

@article{4628ef25bde74ff68cdae6f346e8ef62,

title = "Non-local elliptic systems on the heisenberg group",

abstract = "We present Liouville type results for certain systems of nonlinear elliptic equations containing fractional powers of the Laplacian on the Heisenberg group. Our method of proof is based on the test function method and a recent inequality proved by Alsaedi, Ahmad, and Kirane, leading to the derivation of sufficient conditions in terms of space dimension and systems parameters.",

keywords = "Convexity inequality, Fractional diffusion operator, Nonlinear elliptic systems",

author = "Nasser Al-Salti and Sebti Kerbal",

year = "2016",

month = jan,

day = "6",

language = "English",

volume = "2016",

journal = "Electronic Journal of Differential Equations",

issn = "1072-6691",

publisher = "Texas State University - San Marcos",

}

TY - JOUR

T1 - Non-local elliptic systems on the heisenberg group

AU - Al-Salti, Nasser

AU - Kerbal, Sebti

PY - 2016/1/6

Y1 - 2016/1/6

N2 - We present Liouville type results for certain systems of nonlinear elliptic equations containing fractional powers of the Laplacian on the Heisenberg group. Our method of proof is based on the test function method and a recent inequality proved by Alsaedi, Ahmad, and Kirane, leading to the derivation of sufficient conditions in terms of space dimension and systems parameters.

AB - We present Liouville type results for certain systems of nonlinear elliptic equations containing fractional powers of the Laplacian on the Heisenberg group. Our method of proof is based on the test function method and a recent inequality proved by Alsaedi, Ahmad, and Kirane, leading to the derivation of sufficient conditions in terms of space dimension and systems parameters.

KW - Convexity inequality

KW - Fractional diffusion operator

KW - Nonlinear elliptic systems

UR - http://www.scopus.com/inward/record.url?scp=84955247682&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84955247682&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84955247682

VL - 2016

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

SN - 1072-6691

M1 - 09

ER -

Non-local elliptic systems on the heisenberg group

Abstract

Keywords

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this