On the stability of the positive steady states for a nonhomogeneous semilinear Cauchy problem

This paper is contributed to the Cauchy problem with initial function φ 0. The monotonicity and stability of the positive radial steady states, which are positive solutions of Δu+K(x)up+μf(x)=0, are discussed with K(x), f(x) and φ in weighted Banach spaces