Abstract
In the paper, we intend to analyze the existence of entire subsolutions to the p-k-Hessian equation Sk1k(λ((Di(|Du|p−2Dju))+α|Du|β(p−1)I))=f(u),x∈Rn,where β = 0 or 1, p≥2 and α≥0 is a constant. The necessary and sufficient conditions on f for the existence of entire subsolutions are established. Since β = 0 or 1 and α≥0 not α≡0, it is very difficult to judge the sign of second order derivative. We will overcome the difficulty by introducing a new technique.
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