Abstract
The quasilinear elliptic equation (*)Δu+f(x,u,∇u)=0 is considered in the whole Euclidean space ℝN,N≥3. Under suitable structure hypotheses it is shown that (*) has an entire positive solution which decays to zero at infinity. In particular, conditions are established for the existence of an entire positive solution of (*) which behaves like a constant multiple of |x|2−N as |x|→∞.
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