TY - JOUR
T1 - Nonexistence of positive solutions to nonlinear nonlocal elliptic systems
AU - Dahmani, Z.
AU - Karami, F.
AU - Kerbal, S.
N1 - Funding Information:
The authors gratefully acknowledge the supports of the National Natural Science Foundation of China (51306033), Natural Science Foundation of Jiangsu Province (BK20130621), and 333 project of Jiangsu Province in China.
PY - 2008/10/1
Y1 - 2008/10/1
N2 - In this paper we consider the question of nonexistence of nontrivial solutions for nonlinear elliptic systems involving fractional diffusion operators. Using a weak formulation approach and relying on a suitable choice of test functions, we derive sufficient conditions in terms of space dimension and systems parameters. Also, we present three main results associated to three different classes of systems.
AB - In this paper we consider the question of nonexistence of nontrivial solutions for nonlinear elliptic systems involving fractional diffusion operators. Using a weak formulation approach and relying on a suitable choice of test functions, we derive sufficient conditions in terms of space dimension and systems parameters. Also, we present three main results associated to three different classes of systems.
KW - Fractional diffusion operator
KW - Nonlinear elliptic systems
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U2 - 10.1016/j.jmaa.2008.05.036
DO - 10.1016/j.jmaa.2008.05.036
M3 - Article
AN - SCOPUS:84904733609
SN - 0022-247X
VL - 346
SP - 22
EP - 29
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 1
ER -