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Entire subsolutions of Monge-Ampère type equations

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The first author is supported by Shandong Provincial Natural Science Foundation (ZR2018LA006)

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  • In this paper, we consider the subsolutions of the Monge-Ampère type equations $ {\det}^{\frac{1}{n}}(D^2u+\alpha I) = f(u) $ in $ \mathbb{R}^{n} $. We obtain the necessary and sufficient condition of the existence of subsolutions.

    Mathematics Subject Classification: Primary: 35J96, 35B08; Secondary: 35A01.


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