Nasser Al-Salti, Sebti Kerbal
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.
Submitted September 13, 2015. Published January 6, 2016.
Math Subject Classifications: 35R03, 35J60, 35D02.
Key Words: Fractional diffusion operator; nonlinear elliptic systems;
convexity inequality.
Show me the PDF file (193 KB), TEX file for this article.
 |
Nasser Al-Salti Department of Mathematics and Statistics Sultan Qaboos University, P.O. Box 36 Al-Khodh 123, Muscat, Oman email: nalsalti@squ.edu.om |
|---|---|
 |
Sebti Kerbal Department of Mathematics and Statistics Sultan Qaboos University, P.O. Box 36 Al-Khodh 123, Muscat, Oman email: skerbal@squ.edu.om |
Return to the EJDE web page