Non-local elliptic systems on the Heisenberg group
Date
2016-01-06
Authors
Al-Salti, Nasser
Kerbal, Sebti
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Fractional diffusion operator, Nonlinear elliptic systems, Convexity inequality
Citation
Al-Salti, N., & Kerbal, S. (2016). Non-local elliptic systems on the Heisenberg group. <i>Electronic Journal of Differential Equations, 2016</i>(09), pp. 1-7.
Rights
Attribution 4.0 International