Nonexistence of nonnegative entire solutions of semilinear elliptic systems

We consider the second-order semilinear elliptic system (Formula presented.) (Formula presented.) where (Formula presented.) (Formula presented.) α and β are positive constants, p and q are nonnegative continuous functions. We prove that nontrivial nonnegative entire solutions fail to exist if the functions p and q are of slow decay. © 2020 Informa UK Limited, trading as Taylor & Francis Group.