Nonexistence results of solutions to systems of semilinear differential inequalities on the Heisenberg group
Abdallah El Hamidi1and Mokhtar Kirane1
Received25 Dec 2002
Abstract
We establish nonexistence results to systems of differential inequalities on the (2N+1)-Heisenberg group. The systems considered here are of the type (ESm). These nonexistence results hold for N less than critical exponents which depend on pi and γi, 1≤i≤m. Our results improve the known estimates of the critical exponent.