Critical conditions of a fully nonlinear inequality of the Hartree type
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DOI: 10.1002/mana.70065
Abstract: In this paper, we establish the sharp criteria for the existence and the nonexistence of negative solutions of the following k$k$ ‐Hessian inequality with a nonlocal term: Fk(D2V)≥[Iα*(−V)p](−V)qinRn,$$\begin{equation*} F_k(D^2V)\ge [I_\alpha \ast (-V)^p](-V)^q \quad \mathrm{in} \;… read more here.
Keywords: equation; conditions fully; fully nonlinear; inequality ... See more keywords